123533122431440 has 80 divisors (see below), whose sum is σ = 288003487021200. Its totient is φ = 49277583753216.

The previous prime is 123533122431431. The next prime is 123533122431451. The reversal of 123533122431440 is 44134221335321.

It can be written as a sum of positive squares in 8 ways, for example, as 1431152830864 + 122101969600576 = 1196308^2 + 11049976^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×123533122431440² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123533122431394 and 123533122431403.

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, 108357824 + ... + 109491936.

It is an arithmetic number, because the mean of its divisors is an integer number (3600043587765).

Almost surely, 2^{123533122431440} is an apocalyptic number.

123533122431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123533122431440 is an abundant number, since it is smaller than the sum of its proper divisors (164470364589760).

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

123533122431440 is a wasteful number, since it uses less digits than its factorization.

123533122431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137864 (or 1137858 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

Adding to 123533122431440 its reverse (44134221335321), we get a palindrome (167667343766761).

The spelling of 123533122431440 in words is "one hundred twenty-three trillion, five hundred thirty-three billion, one hundred twenty-two million, four hundred thirty-one thousand, four hundred forty".