1000202112120 has 128 divisors (see below), whose sum is σ = 3194666879040. Its totient is φ = 249644113920.

The previous prime is 1000202112101. The next prime is 1000202112121. The reversal of 1000202112120 is 212112020001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000202112096 and 1000202112105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000202112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985167 + ... + 1723646.

Almost surely, 2^{1000202112120} is an apocalyptic number.

1000202112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000202112120 is an abundant number, since it is smaller than the sum of its proper divisors (2194464766920).

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

1000202112120 is a wasteful number, since it uses less digits than its factorization.

1000202112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709025 (or 2709021 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000202112120 its reverse (212112020001), we get a palindrome (1212314132121).

The spelling of 1000202112120 in words is "one trillion, two hundred two million, one hundred twelve thousand, one hundred twenty".