122145611205464 has 64 divisors (see below), whose sum is σ = 290922651613440. Its totient is φ = 46691289740160.

The previous prime is 122145611205461. The next prime is 122145611205479. The reversal of 122145611205464 is 464502116541221.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122145611205461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1870611974 + ... + 1870677269.

It is an arithmetic number, because the mean of its divisors is an integer number (4545666431460).

Almost surely, 2^{122145611205464} is an apocalyptic number.

122145611205464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122145611205464 is an abundant number, since it is smaller than the sum of its proper divisors (168777040407976).

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

122145611205464 is a wasteful number, since it uses less digits than its factorization.

122145611205464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741289320 (or 3741289316 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

Adding to 122145611205464 its reverse (464502116541221), we get a palindrome (586647727746685).

The spelling of 122145611205464 in words is "one hundred twenty-two trillion, one hundred forty-five billion, six hundred eleven million, two hundred five thousand, four hundred sixty-four".