11932442100 has 216 divisors, whose sum is σ = 38900010240. Its totient is φ = 3172711680.

The previous prime is 11932442089. The next prime is 11932442131. The reversal of 11932442100 is 124423911.

It is a happy number.

11932442100 is a `hidden beast` number, since 119 + 3 + 2 + 442 + 100 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13826269 + ... + 13827131.

It is an arithmetic number, because the mean of its divisors is an integer number (180092640).

Almost surely, 2^11932442100 is an apocalyptic number.

11932442100 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 11932442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450005120).

11932442100 is an abundant number, since it is smaller than the sum of its proper divisors (26967568140).

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

11932442100 is a wasteful number, since it uses less digits than its factorization.

11932442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11932442100 in words is "eleven billion, nine hundred thirty-two million, four hundred forty-two thousand, one hundred".