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121221201202000 = 2453713112744921
BaseRepresentation
bin11011100100000000000010…
…101000110000101101010000
3120220012122002221021210112121
4123210000002220300231100
5111342042010001431000
61105452130120504024
734350641241136564
oct3344000250605520
9526178087253477
10121221201202000
1135696693937149
121171959301b014
135284158214903
1421d11cd2036a4
15e03395783b1a
hex6e4002a30b50

121221201202000 has 160 divisors (see below), whose sum is σ = 298197082879488. Its totient is φ = 47651811200000.

The previous prime is 121221201201979. The next prime is 121221201202061. The reversal of 121221201202000 is 202102122121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42789540 + ... + 45534460.

Almost surely, 2121221201202000 is an apocalyptic number.

121221201202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121221201202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149098541439744).

121221201202000 is an abundant number, since it is smaller than the sum of its proper divisors (176975881677488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121221201202000 is a wasteful number, since it uses less digits than its factorization.

121221201202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745326 (or 2745310 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121221201202000 its reverse (202102122121), we get a palindrome (121423303324121).

The spelling of 121221201202000 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred one million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 311 355 400 500 568 622 710 1000 1136 1244 1420 1555 1775 2000 2488 2840 3110 3550 4976 5680 6220 7100 7775 8875 12440 14200 15550 17750 22081 24880 28400 31100 35500 38875 44162 62200 71000 77750 88324 110405 124400 142000 155500 176648 220810 311000 353296 441620 552025 622000 883240 1104050 1766480 2208100 2744921 2760125 4416200 5489842 5520250 8832400 10979684 11040500 13724605 21959368 22081000 27449210 43918736 44162000 54898420 68623025 109796840 137246050 194889391 219593680 274492100 343115125 389778782 548984200 686230250 779557564 853670431 974446955 1097968400 1372460500 1559115128 1707340862 1948893910 2744921000 3118230256 3414681724 3897787820 4268352155 4872234775 5489842000 6829363448 7795575640 8536704310 9744469550 13658726896 15591151280 17073408620 19488939100 21341760775 24361173875 34146817240 38977878200 42683521550 48722347750 60610600601 68293634480 77955756400 85367043100 97444695500 106708803875 121221201202 170734086200 194889391000 213417607750 242442402404 303053003005 341468172400 389778782000 426835215500 484884804808 606106006010 853670431000 969769609616 1212212012020 1515265015025 1707340862000 2424424024040 3030530030050 4848848048080 6061060060100 7576325075125 12122120120200 15152650150250 24244240240400 30305300300500 60610600601000 121221201202000