120111001000 has 96 divisors (see below), whose sum is σ = 298565911800. Its totient is φ = 45218150400.

The previous prime is 120111000979. The next prime is 120111001007. The reversal of 120111001000 is 100111021.

It can be written as a sum of positive squares in 12 ways, for example, as 410224516 + 119700776484 = 20254^2 + 345978^2 .

It is a super-2 number, since 2×120111001000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120111001007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81196 + ... + 496804.

Almost surely, 2^120111001000 is an apocalyptic number.

120111001000 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 120111001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149282955900).

120111001000 is an abundant number, since it is smaller than the sum of its proper divisors (178454910800).

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

120111001000 is a wasteful number, since it uses less digits than its factorization.

120111001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415664 (or 415633 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 120111001000 its reverse (100111021), we get a palindrome (120211112021).

The spelling of 120111001000 in words is "one hundred twenty billion, one hundred eleven million, one thousand".