1011225521124 has 288 divisors, whose sum is σ = 3256527456000. Its totient is φ = 257341529088.

The previous prime is 1011225521057. The next prime is 1011225521147. The reversal of 1011225521124 is 4211255221101.

1011225521124 is a `hidden beast` number, since 1 + 0 + 1 + 12 + 2 + 5 + 521 + 124 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276364807 + ... + 276368465.

It is an arithmetic number, because the mean of its divisors is an integer number (11307387000).

Almost surely, 2^{1011225521124} is an apocalyptic number.

1011225521124 is a gapful number since it is divisible by the number (14) 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 1011225521124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628263728000).

1011225521124 is an abundant number, since it is smaller than the sum of its proper divisors (2245301934876).

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

1011225521124 is a wasteful number, since it uses less digits than its factorization.

1011225521124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627 (or 6622 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 1011225521124 in words is "one trillion, eleven billion, two hundred twenty-five million, five hundred twenty-one thousand, one hundred twenty-four".