123306401400 has 384 divisors, whose sum is σ = 495226636800. Its totient is φ = 24646809600.

The previous prime is 123306401369. The next prime is 123306401423. The reversal of 123306401400 is 4104603321.

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 95 ways as a sum of consecutive naturals, for example, 977970 + ... + 1096830.

It is an arithmetic number, because the mean of its divisors is an integer number (1289652700).

Almost surely, 2^123306401400 is an apocalyptic number.

123306401400 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 123306401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247613318400).

123306401400 is an abundant number, since it is smaller than the sum of its proper divisors (371920235400).

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

123306401400 is a wasteful number, since it uses less digits than its factorization.

123306401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118919 (or 118910 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 123306401400 in words is "one hundred twenty-three billion, three hundred six million, four hundred one thousand, four hundred".