9012967920000 has 960 divisors, whose sum is σ = 35498253922560. Its totient is φ = 2176151040000.

The previous prime is 9012967919929. The next prime is 9012967920059. The reversal of 9012967920000 is 297692109.

9012967920000 is a `hidden beast` number, since 90 + 1 + 296 + 79 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2082957837 + ... + 2082962163.

It is an arithmetic number, because the mean of its divisors is an integer number (36977347836).

Almost surely, 2^{9012967920000} is an apocalyptic number.

9012967920000 is a gapful number since it is divisible by the number (90) 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 9012967920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17749126961280).

9012967920000 is an abundant number, since it is smaller than the sum of its proper divisors (26485286002560).

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

9012967920000 is a wasteful number, since it uses less digits than its factorization.

9012967920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 9012967920000 in words is "nine trillion, twelve billion, nine hundred sixty-seven million, nine hundred twenty thousand".