112040150400 has 768 divisors, whose sum is σ = 431043840000. Its totient is φ = 28383436800.

The previous prime is 112040150347. The next prime is 112040150461. The reversal of 112040150400 is 4051040211.

112040150400 is a `hidden beast` number, since 1 + 120 + 40 + 1 + 504 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 158025246 + ... + 158025954.

It is an arithmetic number, because the mean of its divisors is an integer number (561255000).

Almost surely, 2^112040150400 is an apocalyptic number.

112040150400 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 112040150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215521920000).

112040150400 is an abundant number, since it is smaller than the sum of its proper divisors (319003689600).

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

112040150400 is a wasteful number, since it uses less digits than its factorization.

112040150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 112040150400 its reverse (4051040211), we get a palindrome (116091190611).

The spelling of 112040150400 in words is "one hundred twelve billion, forty million, one hundred fifty thousand, four hundred".