122123101323400 has 576 divisors, whose sum is σ = 324257871168000. Its totient is φ = 42675558912000.

The previous prime is 122123101323371. The next prime is 122123101323511. The reversal of 122123101323400 is 4323101321221.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3945931126 + ... + 3945962074.

It is an arithmetic number, because the mean of its divisors is an integer number (562947693000).

Almost surely, 2^{122123101323400} is an apocalyptic number.

122123101323400 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 122123101323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162128935584000).

122123101323400 is an abundant number, since it is smaller than the sum of its proper divisors (202134769844600).

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

122123101323400 is a wasteful number, since it uses less digits than its factorization.

122123101323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31118 (or 31090 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 122123101323400 its reverse (4323101321221), we get a palindrome (126446202644621).

The spelling of 122123101323400 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, one hundred one million, three hundred twenty-three thousand, four hundred".