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121554402564 = 22376181129251
BaseRepresentation
bin111000100110100110…
…1001111110100000100
3102121202100001102221210
41301031031033310010
53442420411340224
6131501420411420
711532142242210
oct1611515176404
9377670042853
10121554402564
1147607322841
121b6843a6b70
13b6022468ba
145c5196b940
153266699429
hex1c4d34fd04

121554402564 has 96 divisors (see below), whose sum is σ = 329876442112. Its totient is φ = 34117200000.

The previous prime is 121554402521. The next prime is 121554402583. The reversal of 121554402564 is 465204455121.

121554402564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 4140939 + ... + 4170189.

Almost surely, 2121554402564 is an apocalyptic number.

121554402564 is a gapful number since it is divisible by the number (14) 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 121554402564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164938221056).

121554402564 is an abundant number, since it is smaller than the sum of its proper divisors (208322039548).

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

121554402564 is a wasteful number, since it uses less digits than its factorization.

121554402564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30137 (or 30135 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

Adding to 121554402564 its reverse (465204455121), we get a palindrome (586758857685).

The spelling of 121554402564 in words is "one hundred twenty-one billion, five hundred fifty-four million, four hundred two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 811 854 1281 1622 1708 2433 2562 3244 4866 5124 5677 9732 11354 17031 22708 29251 34062 49471 58502 68124 87753 98942 117004 148413 175506 197884 204757 296826 346297 351012 409514 593652 614271 692594 819028 1038891 1228542 1385188 1784311 2077782 2457084 3568622 4155564 5352933 7137244 10705866 12490177 21411732 23722561 24980354 37470531 47445122 49960708 71167683 74941062 94890244 142335366 149882124 166057927 284670732 332115854 498173781 664231708 996347562 1447076221 1992695124 2894152442 4341228663 5788304884 8682457326 10129533547 17364914652 20259067094 30388600641 40518134188 60777201282 121554402564