2120036505000 has 320 divisors, whose sum is σ = 6693789801600. Its totient is φ = 559319040000.

The previous prime is 2120036504959. The next prime is 2120036505023. The reversal of 2120036505000 is 5056300212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1557704320 + ... + 1557705680.

It is an arithmetic number, because the mean of its divisors is an integer number (20918093130).

Almost surely, 2^{2120036505000} is an apocalyptic number.

2120036505000 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 2120036505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346894900800).

2120036505000 is an abundant number, since it is smaller than the sum of its proper divisors (4573753296600).

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

2120036505000 is a wasteful number, since it uses less digits than its factorization.

2120036505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 2120036505000 in words is "two trillion, one hundred twenty billion, thirty-six million, five hundred five thousand".