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132121021401312 = 2531376260639597
BaseRepresentation
bin11110000010100111010010…
…100011000100100011100000
3122022210122110010222022102120
4132002213102203010203200
5114304132322434320222
61144555320451344240
736554300035146366
oct3602472243044340
9568718403868376
10132121021401312
1139109235214049
1212999b328b2080
135894c607c4c98
14248a9978b3636
151041b8703915c
hex7829d28c48e0

132121021401312 has 24 divisors (see below), whose sum is σ = 346817681178696. Its totient is φ = 44040340467072.

The previous prime is 132121021401289. The next prime is 132121021401319. The reversal of 132121021401312 is 213104120121231.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1321210214013122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132121021401319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 688130319703 + ... + 688130319894.

It is an arithmetic number, because the mean of its divisors is an integer number (14450736715779).

Almost surely, 2132121021401312 is an apocalyptic number.

132121021401312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132121021401312 is an abundant number, since it is smaller than the sum of its proper divisors (214696659777384).

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

132121021401312 is a wasteful number, since it uses less digits than its factorization.

132121021401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376260639610 (or 1376260639602 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 132121021401312 its reverse (213104120121231), we get a palindrome (345225141522543).

The spelling of 132121021401312 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, twenty-one million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1376260639597 2752521279194 4128781918791 5505042558388 8257563837582 11010085116776 16515127675164 22020170233552 33030255350328 44040340467104 66060510700656 132121021401312