114024311021000 has 96 divisors (see below), whose sum is σ = 283435241380200. Its totient is φ = 42926799334400.

The previous prime is 114024311020981. The next prime is 114024311021029. The reversal of 114024311021000 is 120113420411.

It can be written as a sum of positive squares in 12 ways, for example, as 2210140115716 + 111814170905284 = 1486654^2 + 10574222^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196984895 + ... + 197562894.

Almost surely, 2^{114024311021000} is an apocalyptic number.

114024311021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114024311021000 is an abundant number, since it is smaller than the sum of its proper divisors (169410930359200).

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

114024311021000 is a wasteful number, since it uses less digits than its factorization.

114024311021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394547844 (or 394547813 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 114024311021000 its reverse (120113420411), we get a palindrome (114144424441411).

The spelling of 114024311021000 in words is "one hundred fourteen trillion, twenty-four billion, three hundred eleven million, twenty-one thousand".