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121031220010032 = 24329912089405997
BaseRepresentation
bin11011100001001111000110…
…111000000001110000110000
3120212112110201211011021221100
4123201033012320001300300
5111330433414310310112
61105224550324324400
734331134313510463
oct3341170670016060
9525473654137840
10121031220010032
1135623063466792
12116a87b2843700
13526c26c769917
1421c5d2997d2da
15ded476b852dc
hex6e13c6e01c30

121031220010032 has 120 divisors (see below), whose sum is σ = 339224255976320. Its totient is φ = 40283637672960.

The previous prime is 121031220010027. The next prime is 121031220010037. The reversal of 121031220010032 is 230010022130121.

121031220010032 is a `hidden beast` number, since 1 + 21 + 0 + 312 + 200 + 100 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (121031220010027) and next prime (121031220010037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121031220009987 and 121031220010014.

It is not an unprimeable number, because it can be changed into a prime (121031220010037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297905658 + ... + 298311654.

Almost surely, 2121031220010032 is an apocalyptic number.

121031220010032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121031220010032 is an abundant number, since it is smaller than the sum of its proper divisors (218193035966288).

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

121031220010032 is a wasteful number, since it uses less digits than its factorization.

121031220010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409091 (or 409082 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121031220010032 its reverse (230010022130121), we get a palindrome (351041242140153).

The spelling of 121031220010032 in words is "one hundred twenty-one trillion, thirty-one billion, two hundred twenty million, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 991 1982 2089 2973 3964 4178 5946 6267 7928 8356 8919 11892 12534 15856 16712 17838 18801 23784 25068 33424 35676 37602 47568 50136 71352 75204 100272 142704 150408 300816 405997 811994 1217991 1623988 2070199 2435982 3247976 3653973 4140398 4871964 6210597 6495952 7307946 8280796 9743928 12421194 14615892 16561592 18631791 19487856 24842388 29231784 33123184 37263582 49684776 58463568 74527164 99369552 149054328 298108656 402343027 804686054 848127733 1207029081 1609372108 1696255466 2414058162 2544383199 3218744216 3392510932 3621087243 4828116324 5088766398 6437488432 6785021864 7242174486 7633149597 9656232648 10177532796 13570043728 14484348972 15266299194 19312465296 20355065592 28968697944 30532598388 40710131184 57937395888 61065196776 122130393552 840494583403 1680989166806 2521483750209 3361978333612 5042967500418 6723956667224 7564451250627 10085935000836 13447913334448 15128902501254 20171870001672 30257805002508 40343740003344 60515610005016 121031220010032