1321540921512 has 320 divisors, whose sum is σ = 4299243696000. Its totient is φ = 376108621056.

The previous prime is 1321540921501. The next prime is 1321540921537. The reversal of 1321540921512 is 2151290451231.

1321540921512 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 54 + 0 + 92 + 1 + 512 = 666.

It is a super-2 number, since 2×1321540921512² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 136391164 + ... + 136400852.

It is an arithmetic number, because the mean of its divisors is an integer number (13435136550).

Almost surely, 2^{1321540921512} is an apocalyptic number.

1321540921512 is a gapful number since it is divisible by the number (12) 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 1321540921512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149621848000).

1321540921512 is an abundant number, since it is smaller than the sum of its proper divisors (2977702774488).

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

1321540921512 is an equidigital number, since it uses as much as digits as its factorization.

1321540921512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9995 (or 9964 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1321540921512 in words is "one trillion, three hundred twenty-one billion, five hundred forty million, nine hundred twenty-one thousand, five hundred twelve".