2120915145600 has 480 divisors, whose sum is σ = 8079146264640. Its totient is φ = 547330867200.

The previous prime is 2120915145571. The next prime is 2120915145607. The reversal of 2120915145600 is 65415190212.

2120915145600 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 9 + 1 + 5 + 1 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (2120915145607) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 7903224 + ... + 8167176.

It is an arithmetic number, because the mean of its divisors is an integer number (16831554718).

Almost surely, 2^{2120915145600} is an apocalyptic number.

2120915145600 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 2120915145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039573132320).

2120915145600 is an abundant number, since it is smaller than the sum of its proper divisors (5958231119040).

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

2120915145600 is a wasteful number, since it uses less digits than its factorization.

2120915145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264020 (or 263994 counting only the distinct ones).

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

The spelling of 2120915145600 in words is "two trillion, one hundred twenty billion, nine hundred fifteen million, one hundred forty-five thousand, six hundred".