11252229120 has 528 divisors, whose sum is σ = 43224779520. Its totient is φ = 2683699200.

The previous prime is 11252229113. The next prime is 11252229139. The reversal of 11252229120 is 2192225211.

It is a happy number.

11252229120 is a `hidden beast` number, since 1 + 12 + 522 + 2 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×11252229120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40043380 + ... + 40043660.

Almost surely, 2^11252229120 is an apocalyptic number.

11252229120 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 11252229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21612389760).

11252229120 is an abundant number, since it is smaller than the sum of its proper divisors (31972550400).

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

11252229120 is a wasteful number, since it uses less digits than its factorization.

11252229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11252229120 in words is "eleven billion, two hundred fifty-two million, two hundred twenty-nine thousand, one hundred twenty".