6121033920 has 392 divisors, whose sum is σ = 23020416240. Its totient is φ = 1545246720.

The previous prime is 6121033909. The next prime is 6121033949. The reversal of 6121033920 is 293301216.

6121033920 is a `hidden beast` number, since 61 + 210 + 3 + 392 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4431630 + ... + 4433010.

Almost surely, 2^6121033920 is an apocalyptic number.

6121033920 is a gapful number since it is divisible by the number (60) 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 6121033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11510208120).

6121033920 is an abundant number, since it is smaller than the sum of its proper divisors (16899382320).

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

6121033920 is a wasteful number, since it uses less digits than its factorization.

6121033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 6121033920 is about 78237.0367537012. The cubic root of 6121033920 is about 1829.2578554784.

The spelling of 6121033920 in words is "six billion, one hundred twenty-one million, thirty-three thousand, nine hundred twenty".