10114431120 has 400 divisors, whose sum is σ = 37356359040. Its totient is φ = 2529128448.

The previous prime is 10114431109. The next prime is 10114431143. The reversal of 10114431120 is 2113441101.

10114431120 is a `hidden beast` number, since 1 + 0 + 114 + 431 + 120 = 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 = 10114431093 and 10114431102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13912197 + ... + 13912923.

Almost surely, 2^10114431120 is an apocalyptic number.

10114431120 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 10114431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18678179520).

10114431120 is an abundant number, since it is smaller than the sum of its proper divisors (27241927920).

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

10114431120 is a wasteful number, since it uses less digits than its factorization.

10114431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10114431120 its reverse (2113441101), we get a palindrome (12227872221).

The spelling of 10114431120 in words is "ten billion, one hundred fourteen million, four hundred thirty-one thousand, one hundred twenty".