122081437440 has 720 divisors, whose sum is σ = 450822187200. Its totient is φ = 31531991040.

The previous prime is 122081437399. The next prime is 122081437451. The reversal of 122081437440 is 44734180221.

122081437440 is a `hidden beast` number, since 1 + 2 + 208 + 1 + 4 + 3 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122081437395 and 122081437404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 613474461 + ... + 613474659.

Almost surely, 2^122081437440 is an apocalyptic number.

122081437440 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 122081437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225411093600).

122081437440 is an abundant number, since it is smaller than the sum of its proper divisors (328740749760).

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

122081437440 is an equidigital number, since it uses as much as digits as its factorization.

122081437440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 122081437440 in words is "one hundred twenty-two billion, eighty-one million, four hundred thirty-seven thousand, four hundred forty".