11867220900 has 432 divisors, whose sum is σ = 40412788416. Its totient is φ = 3017710080.

The previous prime is 11867220881. The next prime is 11867220941. The reversal of 11867220900 is 902276811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60239602 + ... + 60239798.

Almost surely, 2^11867220900 is an apocalyptic number.

11867220900 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 11867220900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20206394208).

11867220900 is an abundant number, since it is smaller than the sum of its proper divisors (28545567516).

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

11867220900 is a wasteful number, since it uses less digits than its factorization.

11867220900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11867220900 in words is "eleven billion, eight hundred sixty-seven million, two hundred twenty thousand, nine hundred".