122145459840 has 320 divisors, whose sum is σ = 437203008000. Its totient is φ = 32497514496.

The previous prime is 122145459823. The next prime is 122145459851. The reversal of 122145459840 is 48954541221.

122145459840 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 4 + 54 + 598 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24828901 + ... + 24833819.

It is an arithmetic number, because the mean of its divisors is an integer number (1366259400).

Almost surely, 2^122145459840 is an apocalyptic number.

122145459840 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 122145459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218601504000).

122145459840 is an abundant number, since it is smaller than the sum of its proper divisors (315057548160).

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

122145459840 is an equidigital number, since it uses as much as digits as its factorization.

122145459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429 (or 5408 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 122145459840 in words is "one hundred twenty-two billion, one hundred forty-five million, four hundred fifty-nine thousand, eight hundred forty".