114212351501300 has 288 divisors, whose sum is σ = 280541141217792. Its totient is φ = 40044079595520.

The previous prime is 114212351501279. The next prime is 114212351501383. The reversal of 114212351501300 is 3105153212411.

It is a happy number.

It is a super-2 number, since 2×114212351501300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 2347753577 + ... + 2347802223.

It is an arithmetic number, because the mean of its divisors is an integer number (974101184784).

Almost surely, 2^{114212351501300} is an apocalyptic number.

114212351501300 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 114212351501300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140270570608896).

114212351501300 is an abundant number, since it is smaller than the sum of its proper divisors (166328789716492).

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

114212351501300 is a wasteful number, since it uses less digits than its factorization.

114212351501300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49267 (or 49260 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 114212351501300 in words is "one hundred fourteen trillion, two hundred twelve billion, three hundred fifty-one million, five hundred one thousand, three hundred".