122021112101200 has 360 divisors, whose sum is σ = 334219921666080. Its totient is φ = 42673530931200.

The previous prime is 122021112101191. The next prime is 122021112101209. The reversal of 122021112101200 is 2101211120221.

It is an interprime number because it is at equal distance from previous prime (122021112101191) and next prime (122021112101209).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021112101209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9264370615 + ... + 9264383785.

Almost surely, 2^{122021112101200} is an apocalyptic number.

122021112101200 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 122021112101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167109960833040).

122021112101200 is an abundant number, since it is smaller than the sum of its proper divisors (212198809564880).

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

122021112101200 is a wasteful number, since it uses less digits than its factorization.

122021112101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20447 (or 20423 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122021112101200 its reverse (2101211120221), we get a palindrome (124122323221421).

The spelling of 122021112101200 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred twelve million, one hundred one thousand, two hundred".