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121020113040224 = 25193721112548379
BaseRepresentation
bin11011100001000100110000…
…110110010011001101100000
3120212111102001202102202201012
4123201010300312103031200
5111330243142414241344
61105215512235400052
734330262135023346
oct3341046066231540
9525442052382635
10121020113040224
11356193839069a2
12116a6612bb3028
13526b1bc62b238
1421c55947c5996
15ded026a1629e
hex6e1130d93360

121020113040224 has 96 divisors (see below), whose sum is σ = 257698709452800. Its totient is φ = 55749540349440.

The previous prime is 121020113040223. The next prime is 121020113040227. The reversal of 121020113040224 is 422040311020121.

It is a super-3 number, since 3×1210201130402243 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121020113040224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121020113040223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46214867 + ... + 48763245.

It is an arithmetic number, because the mean of its divisors is an integer number (2684361556800).

Almost surely, 2121020113040224 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 121020113040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128849354726400).

121020113040224 is an abundant number, since it is smaller than the sum of its proper divisors (136678596412576).

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

121020113040224 is a wasteful number, since it uses less digits than its factorization.

121020113040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550556 (or 2550548 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 121020113040224 its reverse (422040311020121), we get a palindrome (543060424060345).

The spelling of 121020113040224 in words is "one hundred twenty-one trillion, twenty billion, one hundred thirteen million, forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 37 38 74 76 148 152 296 304 592 608 703 1184 1406 2111 2812 4222 5624 8444 11248 16888 22496 33776 40109 67552 78107 80218 156214 160436 312428 320872 624856 641744 1249712 1283488 1484033 2499424 2548379 2968066 5096758 5936132 10193516 11872264 20387032 23744528 40774064 47489056 48419201 81548128 94290023 96838402 188580046 193676804 377160092 387353608 754320184 774707216 1508640368 1549414432 1791510437 3017280736 3583020874 5379628069 7166041748 10759256138 14332083496 21518512276 28664166992 43037024552 57328333984 86074049104 102212933311 172148098208 199046238553 204425866622 398092477106 408851733244 796184954212 817703466488 1592369908424 1635406932976 3184739816848 3270813865952 3781878532507 6369479633696 7563757065014 15127514130028 30255028260056 60510056520112 121020113040224