2120996100496 has 135 divisors (see below), whose sum is σ = 5177657302083. Its totient is φ = 838865664000.

The previous prime is 2120996100469. The next prime is 2120996100511. The reversal of 2120996100496 is 6940016990212.

The square root of 2120996100496 is 1456364.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1451976800400 + 669019300096 = 1204980^2 + 817936^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 530114496 + ... + 530118496.

Almost surely, 2^{2120996100496} is an apocalyptic number.

2120996100496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2120996100496 is the 1456364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120996100496

2120996100496 is an abundant number, since it is smaller than the sum of its proper divisors (3056661201587).

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

2120996100496 is an frugal number, since it uses more digits than its factorization.

2120996100496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8050 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

Multiplying 2120996100496 by its sum of digits (49), we get a square (103928808924304 = 10194548²).

2120996100496 divided by its sum of digits (49) gives a square (43285634704 = 208052²).

The spelling of 2120996100496 in words is "two trillion, one hundred twenty billion, nine hundred ninety-six million, one hundred thousand, four hundred ninety-six".