119071963920 has 960 divisors, whose sum is σ = 482759101440. Its totient is φ = 24044138496.

The previous prime is 119071963909. The next prime is 119071963921. The reversal of 119071963920 is 29369170911.

119071963920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 119071963920.

It is not an unprimeable number, because it can be changed into a prime (119071963921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 387856407 + ... + 387856713.

It is an arithmetic number, because the mean of its divisors is an integer number (502874064).

Almost surely, 2^119071963920 is an apocalyptic number.

119071963920 is a gapful number since it is divisible by the number (10) 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 119071963920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241379550720).

119071963920 is an abundant number, since it is smaller than the sum of its proper divisors (363687137520).

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

119071963920 is a wasteful number, since it uses less digits than its factorization.

119071963920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 48.

The spelling of 119071963920 in words is "one hundred nineteen billion, seventy-one million, nine hundred sixty-three thousand, nine hundred twenty".