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121056066960 = 24352577732539
BaseRepresentation
bin111000010111110000…
…0001111110110010000
3102120110121100101000120
41300233200033312100
53440410323120320
6131340135350240
711513611406553
oct1605740176620
9376417311016
10121056066960
1147380aa2934
121b565522380
13b552c2526a
145c056ca69a
153237a5e440
hex1c2f80fd90

121056066960 has 160 divisors (see below), whose sum is σ = 377369953920. Its totient is φ = 32101761024.

The previous prime is 121056066947. The next prime is 121056066979. The reversal of 121056066960 is 69660650121.

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, 47677371 + ... + 47679909.

It is an arithmetic number, because the mean of its divisors is an integer number (2358562212).

Almost surely, 2121056066960 is an apocalyptic number.

121056066960 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 121056066960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188684976960).

121056066960 is an abundant number, since it is smaller than the sum of its proper divisors (256313886960).

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

121056066960 is a wasteful number, since it uses less digits than its factorization.

121056066960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 121056066960 in words is "one hundred twenty-one billion, fifty-six million, sixty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 257 514 771 773 1028 1285 1542 1546 2056 2319 2539 2570 3084 3092 3855 3865 4112 4638 5078 5140 6168 6184 7617 7710 7730 9276 10156 10280 11595 12336 12368 12695 15234 15420 15460 18552 20312 20560 23190 25390 30468 30840 30920 37104 38085 40624 46380 50780 60936 61680 61840 76170 92760 101560 121872 152340 185520 198661 203120 304680 397322 595983 609360 652523 794644 993305 1191966 1305046 1589288 1957569 1962647 1986610 2383932 2610092 2979915 3178576 3262615 3915138 3925294 3973220 4767864 5220184 5887941 5959830 6525230 7830276 7850588 7946440 9535728 9787845 9813235 10440368 11775882 11919660 13050460 15660552 15701176 15892880 19575690 19626470 23551764 23839320 26100920 29439705 31321104 31402352 39151380 39252940 47103528 47678640 52201840 58879410 78302760 78505880 94207056 117758820 156605520 157011760 235517640 471035280 504400279 1008800558 1513200837 2017601116 2522001395 3026401674 4035202232 5044002790 6052803348 7566004185 8070404464 10088005580 12105606696 15132008370 20176011160 24211213392 30264016740 40352022320 60528033480 121056066960