122000000012200 has 192 divisors, whose sum is σ = 291247095086640. Its totient is φ = 47509632000000.

The previous prime is 122000000012179. The next prime is 122000000012221. The reversal of 122000000012200 is 2210000000221.

It is an interprime number because it is at equal distance from previous prime (122000000012179) and next prime (122000000012221).

It can be written as a sum of positive squares in 24 ways, for example, as 12985226664004 + 109014773348196 = 3603502^2 + 10441014^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4363206220 + ... + 4363234180.

Almost surely, 2^{122000000012200} is an apocalyptic number.

122000000012200 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 122000000012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145623547543320).

122000000012200 is an abundant number, since it is smaller than the sum of its proper divisors (169247095074440).

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

122000000012200 is a wasteful number, since it uses less digits than its factorization.

122000000012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31680 (or 31671 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122000000012200 its reverse (2210000000221), we get a palindrome (124210000012421).

The spelling of 122000000012200 in words is "one hundred twenty-two trillion, twelve thousand, two hundred".