122273371440 has 240 divisors, whose sum is σ = 452403428256. Its totient is φ = 29348352000.

The previous prime is 122273371303. The next prime is 122273371487. The reversal of 122273371440 is 44173372221.

122273371440 is a `hidden beast` number, since 12 + 2 + 273 + 371 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 122273371395 and 122273371404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 723492 + ... + 876348.

Almost surely, 2^122273371440 is an apocalyptic number.

122273371440 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 122273371440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226201714128).

122273371440 is an abundant number, since it is smaller than the sum of its proper divisors (330130056816).

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

122273371440 is a wasteful number, since it uses less digits than its factorization.

122273371440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152988 (or 152979 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 122273371440 in words is "one hundred twenty-two billion, two hundred seventy-three million, three hundred seventy-one thousand, four hundred forty".