1101920191920 has 80 divisors (see below), whose sum is σ = 3795502890720. Its totient is φ = 293845383936.

The previous prime is 1101920191891. The next prime is 1101920191921. The reversal of 1101920191920 is 291910291011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1101920191920² (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 not an unprimeable number, because it can be changed into a prime (1101920191921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255071959 + ... + 255076278.

It is an arithmetic number, because the mean of its divisors is an integer number (47443786134).

Almost surely, 2^{1101920191920} is an apocalyptic number.

1101920191920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101920191920 is an abundant number, since it is smaller than the sum of its proper divisors (2693582698800).

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

1101920191920 is a wasteful number, since it uses less digits than its factorization.

1101920191920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510148259 (or 510148247 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 36.

The spelling of 1101920191920 in words is "one trillion, one hundred one billion, nine hundred twenty million, one hundred ninety-one thousand, nine hundred twenty".