12920469540 has 384 divisors, whose sum is σ = 43633852416. Its totient is φ = 2843596800.

The previous prime is 12920469539. The next prime is 12920469559. The reversal of 12920469540 is 4596402921.

It is a junction number, because it is equal to n+sod(n) for n = 12920469492 and 12920469501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42086067 + ... + 42086373.

It is an arithmetic number, because the mean of its divisors is an integer number (113629824).

Almost surely, 2^12920469540 is an apocalyptic number.

12920469540 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 12920469540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21816926208).

12920469540 is an abundant number, since it is smaller than the sum of its proper divisors (30713382876).

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

12920469540 is a wasteful number, since it uses less digits than its factorization.

12920469540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 12920469540 in words is "twelve billion, nine hundred twenty million, four hundred sixty-nine thousand, five hundred forty".