122010022201200 has 960 divisors, whose sum is σ = 461759010865152. Its totient is φ = 26956542873600.

The previous prime is 122010022201187. The next prime is 122010022201213. The reversal of 122010022201200 is 2102220010221.

It is an interprime number because it is at equal distance from previous prime (122010022201187) and next prime (122010022201213).

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 122010022201200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39575094859 + ... + 39575097941.

Almost surely, 2^{122010022201200} is an apocalyptic number.

122010022201200 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 122010022201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230879505432576).

122010022201200 is an abundant number, since it is smaller than the sum of its proper divisors (339748988663952).

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

122010022201200 is a wasteful number, since it uses less digits than its factorization.

122010022201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122010022201200 its reverse (2102220010221), we get a palindrome (124112242211421).

The spelling of 122010022201200 in words is "one hundred twenty-two trillion, ten billion, twenty-two million, two hundred one thousand, two hundred".