2120124984120 has 2560 divisors, whose sum is σ = 9652840243200. Its totient is φ = 408482611200.

The previous prime is 2120124984119. The next prime is 2120124984143. The reversal of 2120124984120 is 214894210212.

2120124984120 is a `hidden beast` number, since 2 + 120 + 1 + 2 + 498 + 41 + 2 + 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 (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 4639222932 + ... + 4639223388.

It is an arithmetic number, because the mean of its divisors is an integer number (3770640720).

Almost surely, 2^{2120124984120} is an apocalyptic number.

2120124984120 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 2120124984120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826420121600).

2120124984120 is an abundant number, since it is smaller than the sum of its proper divisors (7532715259080).

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

2120124984120 is a wasteful number, since it uses less digits than its factorization.

2120124984120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 2120124984120 in words is "two trillion, one hundred twenty billion, one hundred twenty-four million, nine hundred eighty-four thousand, one hundred twenty".