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121024400442 = 231123631126349
BaseRepresentation
bin111000010110110011…
…1011100110000111010
3102120101101202112201120
41300231213130300322
53440324221303232
6131333044530110
711513045300421
oct1605547346072
9376341675646
10121024400442
1147365134360
121b5569b0936
13b5494b888a
145c014062b8
153234da692c
hex1c2d9dcc3a

121024400442 has 64 divisors (see below), whose sum is σ = 275972659200. Its totient is φ = 35023665600.

The previous prime is 121024400429. The next prime is 121024400501. The reversal of 121024400442 is 244004420121.

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, 894684 + ... + 1021032.

It is an arithmetic number, because the mean of its divisors is an integer number (4312072800).

Almost surely, 2121024400442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121024400442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137986329600).

121024400442 is an abundant number, since it is smaller than the sum of its proper divisors (154948258758).

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

121024400442 is a wasteful number, since it uses less digits than its factorization.

121024400442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127019.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 121024400442 its reverse (244004420121), we get a palindrome (365028820563).

The spelling of 121024400442 in words is "one hundred twenty-one billion, twenty-four million, four hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 631 759 1262 1518 1893 3786 6941 13882 14513 20823 29026 41646 43539 87078 126349 159643 252698 319286 379047 478929 758094 957858 1389839 2779678 2906027 4169517 5812054 8339034 8718081 17436162 31966297 63932594 79726219 95898891 159452438 191797782 239178657 478357314 876988409 1753976818 1833703037 2630965227 3667406074 5261930454 5501109111 11002218222 20170733407 40341466814 60512200221 121024400442