122344122042351 has 72 divisors (see below), whose sum is σ = 198446619571200. Its totient is φ = 72545250238560.

The previous prime is 122344122042343. The next prime is 122344122042427. The reversal of 122344122042351 is 153240221443221.

122344122042351 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 4 + 4 + 1 + 220 + 423 + 5 + 1 = 666.

It is not a de Polignac number, because 122344122042351 - 2³ = 122344122042343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122344122022351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148172550 + ... + 148995948.

It is an arithmetic number, because the mean of its divisors is an integer number (2756203049600).

Almost surely, 2^{122344122042351} is an apocalyptic number.

122344122042351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122344122042351 is a deficient number, since it is larger than the sum of its proper divisors (76102497528849).

122344122042351 is a wasteful number, since it uses less digits than its factorization.

122344122042351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826377 (or 826363 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 122344122042351 its reverse (153240221443221), we get a palindrome (275584343485572).

The spelling of 122344122042351 in words is "one hundred twenty-two trillion, three hundred forty-four billion, one hundred twenty-two million, forty-two thousand, three hundred fifty-one".