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121221201201000 = 2335354251744817
BaseRepresentation
bin11011100100000000000010…
…101000110000011101101000
3120220012122002221021202011120
4123210000002220300131220
5111342042010001413000
61105452130120455240
734350641241133635
oct3344000250603550
9526178087252146
10121221201201000
113569669393641a
121171959301a520
135284158214314
1421d11cd20318c
15e033957836a0
hex6e4002a30768

121221201201000 has 128 divisors (see below), whose sum is σ = 378217627032960. Its totient is φ = 32325014400000.

The previous prime is 121221201200963. The next prime is 121221201201011. The reversal of 121221201201000 is 102102122121.

It is a super-2 number, since 2×1212212012010002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162380592 + ... + 163125408.

It is an arithmetic number, because the mean of its divisors is an integer number (2954825211195).

Almost surely, 2121221201201000 is an apocalyptic number.

121221201201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221201201000 is an abundant number, since it is smaller than the sum of its proper divisors (256996425831960).

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

121221201201000 is a wasteful number, since it uses less digits than its factorization.

121221201201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799092 (or 799078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121221201201000 its reverse (102102122121), we get a palindrome (121323303323121).

The spelling of 121221201201000 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred one million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 54251 108502 162753 217004 271255 325506 434008 542510 651012 744817 813765 1085020 1302024 1356275 1489634 1627530 2170040 2234451 2712550 2979268 3255060 3724085 4068825 4468902 5425100 5958536 6510120 6781375 7448170 8137650 8937804 10850200 11172255 13562750 14896340 16275300 17875608 18620425 20344125 22344510 27125500 29792680 32550600 37240850 40688250 44689020 54251000 55861275 74481700 81376500 89378040 93102125 111722550 148963400 162753000 186204250 223445100 279306375 372408500 446890200 558612750 744817000 1117225500 2234451000 40407067067 80814134134 121221201201 161628268268 202035335335 242442402402 323256536536 404070670670 484884804804 606106006005 808141341340 969769609608 1010176676675 1212212012010 1616282682680 2020353353350 2424424024020 3030530030025 4040706706700 4848848048040 5050883383375 6061060060050 8081413413400 10101766766750 12122120120100 15152650150125 20203533533500 24244240240200 30305300300250 40407067067000 60610600600500 121221201201000