122816420 has 24 divisors (see below), whose sum is σ = 266235648. Its totient is φ = 47541600.

The previous prime is 122816411. The next prime is 122816429. The reversal of 122816420 is 24618221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122816411) and next prime (122816429).

It is a self number, because there is not a number n which added to its sum of digits gives 122816420.

It is not an unprimeable number, because it can be changed into a prime (122816429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98426 + ... + 99665.

It is an arithmetic number, because the mean of its divisors is an integer number (11093152).

Almost surely, 2^122816420 is an apocalyptic number.

122816420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122816420 is an abundant number, since it is smaller than the sum of its proper divisors (143419228).

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

122816420 is a wasteful number, since it uses less digits than its factorization.

122816420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198131 (or 198129 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 122816420 is about 11082.2569903427. The cubic root of 122816420 is about 497.0714405682.

The spelling of 122816420 in words is "one hundred twenty-two million, eight hundred sixteen thousand, four hundred twenty".