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121221101040 = 243513181214657
BaseRepresentation
bin111000011100101010…
…1110011010111110000
3102120220002212222012220
41300321111303113300
53441230100213130
6131404352521040
711520654233514
oct1607125632760
9376802788186
10121221101040
1147456173436
121b5b0850180
13b57b189170
145c1d5aa144
1532472ad410
hex1c395735f0

121221101040 has 160 divisors (see below), whose sum is σ = 406929746496. Its totient is φ = 29674045440.

The previous prime is 121221101011. The next prime is 121221101041. The reversal of 121221101040 is 40101122121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221101041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457392 + ... + 672048.

Almost surely, 2121221101040 is an apocalyptic number.

121221101040 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 121221101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203464873248).

121221101040 is an abundant number, since it is smaller than the sum of its proper divisors (285708645456).

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

121221101040 is a wasteful number, since it uses less digits than its factorization.

121221101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214867 (or 214861 counting only the distinct ones).

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

Adding to 121221101040 its reverse (40101122121), we get a palindrome (161322223161).

The spelling of 121221101040 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 181 195 208 240 260 312 362 390 520 543 624 724 780 905 1040 1086 1448 1560 1810 2172 2353 2715 2896 3120 3620 4344 4706 5430 7059 7240 8688 9412 10860 11765 14118 14480 18824 21720 23530 28236 35295 37648 43440 47060 56472 70590 94120 112944 141180 188240 214657 282360 429314 564720 643971 858628 1073285 1287942 1717256 2146570 2575884 2790541 3219855 3434512 4293140 5151768 5581082 6439710 8371623 8586280 10303536 11162164 12879420 13952705 16743246 17172560 22324328 25758840 27905410 33486492 38852917 41858115 44648656 51517680 55810820 66972984 77705834 83716230 111621640 116558751 133945968 155411668 167432460 194264585 223243280 233117502 310823336 334864920 388529170 466235004 505087921 582793755 621646672 669729840 777058340 932470008 1010175842 1165587510 1515263763 1554116680 1864940016 2020351684 2331175020 2525439605 3030527526 3108233360 4040703368 4662350040 5050879210 6061055052 7576318815 8081406736 9324700080 10101758420 12122110104 15152637630 20203516840 24244220208 30305275260 40407033680 60610550520 121221101040