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132121020000000 = 283572419137
BaseRepresentation
bin11110000010100111010010…
…011101101110011100000000
3122022210122110001100010012010
4132002213102131232130000
5114304132322110000000
61144555320401332520
736554300020222053
oct3602472235563400
9568718401303163
10132121020000000
1139109234447239
1212999b32337140
135894c604241c5
14248a99762aa9a
151041b86d5dd50
hex7829d276e700

132121020000000 has 576 divisors, whose sum is σ = 441414243414144. Its totient is φ = 35082240000000.

The previous prime is 132121019999981. The next prime is 132121020000001. The reversal of 132121020000000 is 20121231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132121020000001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14459995432 + ... + 14460004568.

It is an arithmetic number, because the mean of its divisors is an integer number (766344172594).

Almost surely, 2132121020000000 is an apocalyptic number.

132121020000000 is a gapful number since it is divisible by the number (10) 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 132121020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220707121707072).

132121020000000 is an abundant number, since it is smaller than the sum of its proper divisors (309293223414144).

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

132121020000000 is an frugal number, since it uses more digits than its factorization.

132121020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9432 (or 9388 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 132121020000000 its reverse (20121231), we get a palindrome (132121040121231).

The spelling of 132121020000000 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, twenty million", and thus it is an aban number.