120919292100 has 144 divisors (see below), whose sum is σ = 389037600000. Its totient is φ = 32219890560.

The previous prime is 120919292071. The next prime is 120919292161. The reversal of 120919292100 is 1292919021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3566026 + ... + 3599774.

It is an arithmetic number, because the mean of its divisors is an integer number (2701650000).

Almost surely, 2^120919292100 is an apocalyptic number.

120919292100 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 120919292100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194518800000).

120919292100 is an abundant number, since it is smaller than the sum of its proper divisors (268118307900).

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

120919292100 is a wasteful number, since it uses less digits than its factorization.

120919292100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35099 (or 35086 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 120919292100 in words is "one hundred twenty billion, nine hundred nineteen million, two hundred ninety-two thousand, one hundred".