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121190225024 = 27111911533929
BaseRepresentation
bin111000011011110000…
…0000001010010000000
3102120210221210022021202
41300313200001102000
53441144144200044
6131401331040332
711520130626131
oct1606740012200
9376727708252
10121190225024
114743a7a4870
121b5a24400a8
13b57496852b
145c1944dc88
15324470ec4e
hex1c37801480

121190225024 has 128 divisors (see below), whose sum is σ = 277555464000. Its totient is φ = 52128645120.

The previous prime is 121190225017. The next prime is 121190225041. The reversal of 121190225024 is 420522091121.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30843092 + ... + 30847020.

Almost surely, 2121190225024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121190225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138777732000).

121190225024 is an abundant number, since it is smaller than the sum of its proper divisors (156365238976).

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

121190225024 is a wasteful number, since it uses less digits than its factorization.

121190225024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 121190225024 in words is "one hundred twenty-one billion, one hundred ninety million, two hundred twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 704 836 1153 1216 1408 1672 2306 2432 3344 3929 4612 6688 7858 9224 12683 13376 15716 18448 21907 25366 26752 31432 36896 43219 43814 50732 62864 73792 74651 86438 87628 101464 125728 147584 149302 172876 175256 202928 240977 251456 298604 345752 350512 405856 481954 502912 597208 691504 701024 811712 821161 963908 1194416 1383008 1402048 1623424 1642322 1927816 2388832 2766016 2804096 3284644 3855632 4530137 4777664 5532032 6569288 7711264 9060274 9555328 13138576 15422528 18120548 26277152 30845056 36241096 49831507 52554304 72482192 86072603 99663014 105108608 144964384 172145206 199326028 289928768 344290412 398652056 579857536 688580824 797304112 946798633 1377161648 1594608224 1893597266 2754323296 3189216448 3787194532 5508646592 6378432896 7574389064 11017293184 15148778128 30297556256 60595112512 121190225024