122145789638400 has 864 divisors, whose sum is σ = 444470815047168. Its totient is φ = 29293987430400.

The previous prime is 122145789638371. The next prime is 122145789638429. The reversal of 122145789638400 is 4836987541221.

It is an interprime number because it is at equal distance from previous prime (122145789638371) and next prime (122145789638429).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27779345002 + ... + 27779349398.

It is an arithmetic number, because the mean of its divisors is an integer number (514433813712).

It is a 1-persistent number, because it is pandigital, but 2⋅122145789638400 = 244291579276800 is not.

Almost surely, 2^{122145789638400} is an apocalyptic number.

122145789638400 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 122145789638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222235407523584).

122145789638400 is an abundant number, since it is smaller than the sum of its proper divisors (322325025408768).

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

122145789638400 is a wasteful number, since it uses less digits than its factorization.

122145789638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5817 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 122145789638400 in words is "one hundred twenty-two trillion, one hundred forty-five billion, seven hundred eighty-nine million, six hundred thirty-eight thousand, four hundred".