2012970960000 has 5120 divisors, whose sum is σ = 10706572800000. Its totient is φ = 365783040000.

The previous prime is 2012970959999. The next prime is 2012970960001. The reversal of 2012970960000 is 690792102.

2012970960000 is a `hidden beast` number, since 20 + 1 + 29 + 7 + 0 + 9 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2012970959999) and next prime (2012970960001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012970960001) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 105945839991 + ... + 105945840009.

It is an arithmetic number, because the mean of its divisors is an integer number (2091127500).

Almost surely, 2^{2012970960000} is an apocalyptic number.

2012970960000 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 2012970960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353286400000).

2012970960000 is an abundant number, since it is smaller than the sum of its proper divisors (8693601840000).

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

2012970960000 is a wasteful number, since it uses less digits than its factorization.

2012970960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 2012970960000 in words is "two trillion, twelve billion, nine hundred seventy million, nine hundred sixty thousand".