1029201190920 has 96 divisors (see below), whose sum is σ = 3822747289920. Its totient is φ = 235245985920.

The previous prime is 1029201190909. The next prime is 1029201190937. The reversal of 1029201190920 is 290911029201.

It is a super-2 number, since 2×1029201190920² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204204066 + ... + 204209105.

It is an arithmetic number, because the mean of its divisors is an integer number (39820284270).

Almost surely, 2^{1029201190920} is an apocalyptic number.

1029201190920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1029201190920 is an abundant number, since it is smaller than the sum of its proper divisors (2793546099000).

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

1029201190920 is a wasteful number, since it uses less digits than its factorization.

1029201190920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408413195 (or 408413188 counting only the distinct ones).

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

The spelling of 1029201190920 in words is "one trillion, twenty-nine billion, two hundred one million, one hundred ninety thousand, nine hundred twenty".