2136272412120 has 256 divisors, whose sum is σ = 8008767406080. Its totient is φ = 442870003200.

The previous prime is 2136272412091. The next prime is 2136272412133. The reversal of 2136272412120 is 212142726312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3714229 + ... + 4250651.

It is an arithmetic number, because the mean of its divisors is an integer number (31284247680).

Almost surely, 2^{2136272412120} is an apocalyptic number.

2136272412120 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 2136272412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004383703040).

2136272412120 is an abundant number, since it is smaller than the sum of its proper divisors (5872494993960).

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

2136272412120 is a wasteful number, since it uses less digits than its factorization.

2136272412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536886 (or 536882 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 2136272412120 in words is "two trillion, one hundred thirty-six billion, two hundred seventy-two million, four hundred twelve thousand, one hundred twenty".