116400421125 has 192 divisors, whose sum is σ = 230308116480. Its totient is φ = 56371392000.

The previous prime is 116400421103. The next prime is 116400421129. The reversal of 116400421125 is 521124004611.

116400421125 is a `hidden beast` number, since 1 + 1 + 640 + 0 + 4 + 2 + 1 + 12 + 5 = 666.

It is not a de Polignac number, because 116400421125 - 2¹⁴ = 116400404741 is a prime.

It is a super-3 number, since 3×116400421125³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116400421129) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45771604 + ... + 45774146.

It is an arithmetic number, because the mean of its divisors is an integer number (1199521440).

Almost surely, 2^116400421125 is an apocalyptic number.

116400421125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116400421125 is a deficient number, since it is larger than the sum of its proper divisors (113907695355).

116400421125 is a wasteful number, since it uses less digits than its factorization.

116400421125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 116400421125 its reverse (521124004611), we get a palindrome (637524425736).

The spelling of 116400421125 in words is "one hundred sixteen billion, four hundred million, four hundred twenty-one thousand, one hundred twenty-five".