122011210201200 has 60 divisors (see below), whose sum is σ = 390842576681688. Its totient is φ = 32536322720000.

The previous prime is 122011210201193. The next prime is 122011210201201. The reversal of 122011210201200 is 2102012110221.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×122011210201200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122011210201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011210201201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50838003051 + ... + 50838005450.

Almost surely, 2^{122011210201200} is an apocalyptic number.

122011210201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011210201200 is an abundant number, since it is smaller than the sum of its proper divisors (268831366480488).

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

122011210201200 is a wasteful number, since it uses less digits than its factorization.

122011210201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101676008522 (or 101676008511 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122011210201200 its reverse (2102012110221), we get a palindrome (124113222311421).

The spelling of 122011210201200 in words is "one hundred twenty-two trillion, eleven billion, two hundred ten million, two hundred one thousand, two hundred".