122106116600 has 72 divisors (see below), whose sum is σ = 307414877760. Its totient is φ = 45085322880.

The previous prime is 122106116569. The next prime is 122106116609. The reversal of 122106116600 is 6611601221.

It is a super-2 number, since 2×122106116600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 122106116600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122106116609) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1772504 + ... + 1840103.

It is an arithmetic number, because the mean of its divisors is an integer number (4269651080).

Almost surely, 2^122106116600 is an apocalyptic number.

122106116600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122106116600 is an abundant number, since it is smaller than the sum of its proper divisors (185308761160).

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

122106116600 is a wasteful number, since it uses less digits than its factorization.

122106116600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612649 (or 3612627 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 122106116600 its reverse (6611601221), we get a palindrome (128717717821).

The spelling of 122106116600 in words is "one hundred twenty-two billion, one hundred six million, one hundred sixteen thousand, six hundred".