32400114120 has 384 divisors, whose sum is σ = 118582289280. Its totient is φ = 7603200000.

The previous prime is 32400114113. The next prime is 32400114137. The reversal of 32400114120 is 2141100423.

32400114120 is a `hidden beast` number, since 3 + 240 + 0 + 11 + 412 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 32400114093 and 32400114102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36776080 + ... + 36776960.

It is an arithmetic number, because the mean of its divisors is an integer number (308808045).

Almost surely, 2^32400114120 is an apocalyptic number.

32400114120 is a gapful number since it is divisible by the number (30) 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 32400114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59291144640).

32400114120 is an abundant number, since it is smaller than the sum of its proper divisors (86182175160).

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

32400114120 is a wasteful number, since it uses less digits than its factorization.

32400114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 32400114120 its reverse (2141100423), we get a palindrome (34541214543).

The spelling of 32400114120 in words is "thirty-two billion, four hundred million, one hundred fourteen thousand, one hundred twenty".