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132121241214420 = 22358007727498791
BaseRepresentation
bin11110000010100111011111…
…101001100101110111010100
3122022210200000110120222022210
4132002213133221211313110
5114304133300222330140
61144555354342553420
736554305344424053
oct3602473751456724
9568720013528283
10132121241214420
11391093382a9977
1212999b94438870
135894c971c8603
14248a9b8b7239a
151041b9b4a8d80
hex7829dfa65dd4

132121241214420 has 48 divisors (see below), whose sum is σ = 369944108650368. Its totient is φ = 35231889728640.

The previous prime is 132121241214409. The next prime is 132121241214461. The reversal of 132121241214420 is 24412142121231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8944776 + ... + 18554015.

It is an arithmetic number, because the mean of its divisors is an integer number (7707168930216).

Almost surely, 2132121241214420 is an apocalyptic number.

132121241214420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132121241214420 is an abundant number, since it is smaller than the sum of its proper divisors (237822867435948).

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

132121241214420 is a wasteful number, since it uses less digits than its factorization.

132121241214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27578880 (or 27578878 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 132121241214420 its reverse (24412142121231), we get a palindrome (156533383335651).

The spelling of 132121241214420 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, two hundred forty-one million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 80077 160154 240231 320308 400385 480462 800770 960924 1201155 1601540 2402310 4804620 27498791 54997582 82496373 109995164 137493955 164992746 274987910 329985492 412481865 549975820 824963730 1649927460 2202020686907 4404041373814 6606062060721 8808082747628 11010103434535 13212124121442 22020206869070 26424248242884 33030310303605 44040413738140 66060620607210 132121241214420