123122101340400 has 240 divisors, whose sum is σ = 408068404236288. Its totient is φ = 31699721088000.

The previous prime is 123122101340383. The next prime is 123122101340419. The reversal of 123122101340400 is 4043101221321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12193602 + ... + 19872798.

Almost surely, 2^{123122101340400} is an apocalyptic number.

123122101340400 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 123122101340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204034202118144).

123122101340400 is an abundant number, since it is smaller than the sum of its proper divisors (284946302895888).

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

123122101340400 is a wasteful number, since it uses less digits than its factorization.

123122101340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7679680 (or 7679669 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 123122101340400 its reverse (4043101221321), we get a palindrome (127165202561721).

The spelling of 123122101340400 in words is "one hundred twenty-three trillion, one hundred twenty-two billion, one hundred one million, three hundred forty thousand, four hundred".