1011241920 has 336 divisors, whose sum is σ = 3641213952. Its totient is φ = 237219840.

The previous prime is 1011241909. The next prime is 1011241951. The reversal of 1011241920 is 291421101.

It is a happy number.

It is a super-2 number, since 2×1011241920² = 2045220441530572800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3731385 + ... + 3731655.

Almost surely, 2^1011241920 is an apocalyptic number.

1011241920 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 1011241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820606976).

1011241920 is an abundant number, since it is smaller than the sum of its proper divisors (2629972032).

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

1011241920 is a wasteful number, since it uses less digits than its factorization.

1011241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 1011241920 is about 31800.0301886649. The cubic root of 1011241920 is about 1003.7333514089.

The spelling of 1011241920 in words is "one billion, eleven million, two hundred forty-one thousand, nine hundred twenty".