2012713072920 has 384 divisors, whose sum is σ = 7461216322560. Its totient is φ = 465777607680.

The previous prime is 2012713072919. The next prime is 2012713072967. The reversal of 2012713072920 is 292703172102.

2012713072920 is a `hidden beast` number, since 201 + 271 + 30 + 72 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 45791274 + ... + 45835206.

It is an arithmetic number, because the mean of its divisors is an integer number (19430250840).

Almost surely, 2^{2012713072920} is an apocalyptic number.

2012713072920 is a gapful number since it is divisible by the number (20) 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 2012713072920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730608161280).

2012713072920 is an abundant number, since it is smaller than the sum of its proper divisors (5448503249640).

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

2012713072920 is a wasteful number, since it uses less digits than its factorization.

2012713072920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44487 (or 44480 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 2012713072920 in words is "two trillion, twelve billion, seven hundred thirteen million, seventy-two thousand, nine hundred twenty".