122112540414 has 32 divisors (see below), whose sum is σ = 271378628640. Its totient is φ = 40701566016.

The previous prime is 122112540323. The next prime is 122112540443. The reversal of 122112540414 is 414045211221.

122112540414 is a `hidden beast` number, since 1 + 2 + 2 + 112 + 540 + 4 + 1 + 4 = 666.

It is a super-3 number, since 3×122112540414³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 894052 + ... + 1021544.

It is an arithmetic number, because the mean of its divisors is an integer number (8480582145).

Almost surely, 2^122112540414 is an apocalyptic number.

122112540414 is an abundant number, since it is smaller than the sum of its proper divisors (149266088226).

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

122112540414 is a wasteful number, since it uses less digits than its factorization.

122112540414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145241 (or 145235 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 122112540414 its reverse (414045211221), we get a palindrome (536157751635).

The spelling of 122112540414 in words is "one hundred twenty-two billion, one hundred twelve million, five hundred forty thousand, four hundred fourteen".