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121300022112 = 2533746577333
BaseRepresentation
bin111000011111000001…
…0110111001101100000
3102121002121101120120120
41300332002313031200
53441410301201422
6131420252240240
711522633114223
oct1607602671540
9377077346516
10121300022112
1147496777a65
121b613170080
13b59162c419
145c29c715ba
15324e19c45c
hex1c3e0b7360

121300022112 has 96 divisors (see below), whose sum is σ = 327133128672. Its totient is φ = 39326736384.

The previous prime is 121300022059. The next prime is 121300022119. The reversal of 121300022112 is 211220003121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 121300022091 and 121300022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121300022119) 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, 16537998 + ... + 16545330.

It is an arithmetic number, because the mean of its divisors is an integer number (3407636757).

Almost surely, 2121300022112 is an apocalyptic number.

121300022112 is a gapful number since it is divisible by the number (12) 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 121300022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163566564336).

121300022112 is an abundant number, since it is smaller than the sum of its proper divisors (205833106560).

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

121300022112 is a wasteful number, since it uses less digits than its factorization.

121300022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12040 (or 12032 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 121300022112 its reverse (211220003121), we get a palindrome (332520025233).

The spelling of 121300022112 in words is "one hundred twenty-one billion, three hundred million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 4657 7333 9314 13971 14666 18628 21999 27942 29332 37256 43998 55884 58664 74512 87996 111768 117328 149024 172309 175992 223536 234656 271321 344618 351984 447072 516927 542642 689236 703968 813963 1033854 1085284 1378472 1627926 2067708 2170568 2756944 3255852 4135416 4341136 5513888 6511704 8270832 8682272 13023408 16541664 26046816 34149781 68299562 102449343 136599124 204898686 273198248 409797372 546396496 819594744 1092792992 1263541897 1639189488 2527083794 3278378976 3790625691 5054167588 7581251382 10108335176 15162502764 20216670352 30325005528 40433340704 60650011056 121300022112