2119426271200 has 288 divisors, whose sum is σ = 6265736467200. Its totient is φ = 683402158080.

The previous prime is 2119426271191. The next prime is 2119426271219. The reversal of 2119426271200 is 21726249112.

It is a self number, because there is not a number n which added to its sum of digits gives 2119426271200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138889171 + ... + 138904429.

It is an arithmetic number, because the mean of its divisors is an integer number (21756029400).

Almost surely, 2^{2119426271200} is an apocalyptic number.

2119426271200 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 2119426271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132868233600).

2119426271200 is an abundant number, since it is smaller than the sum of its proper divisors (4146310196000).

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

2119426271200 is a wasteful number, since it uses less digits than its factorization.

2119426271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16762 (or 16749 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 2119426271200 in words is "two trillion, one hundred nineteen billion, four hundred twenty-six million, two hundred seventy-one thousand, two hundred".