79122420000 has 1350 divisors, whose sum is σ = 334477122903. Its totient is φ = 18330624000.

The previous prime is 79122419989. The next prime is 79122420011. The reversal of 79122420000 is 2422197.

79122420000 = T₂₅ + T₂₆ + ... + T₇₈₀₀.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (79122419989) and next prime (79122420011).

It can be written as a sum of positive squares in 23 ways, for example, as 66756090384 + 12366329616 = 258372^2 + 111204^2 .

It is a tau number, because it is divible by the number of its divisors (1350).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=198900.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 4654259992 + ... + 4654260008.

Almost surely, 2^79122420000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79122420000

79122420000 is an abundant number, since it is smaller than the sum of its proper divisors (255354702903).

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

79122420000 is a wasteful number, since it uses less digits than its factorization.

79122420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 79122420000 its reverse (2422197), we get a palindrome (79124842197).

The spelling of 79122420000 in words is "seventy-nine billion, one hundred twenty-two million, four hundred twenty thousand".