122202211012000 has 768 divisors, whose sum is σ = 360271262647296. Its totient is φ = 39860674560000.

The previous prime is 122202211011997. The next prime is 122202211012027. The reversal of 122202211012000 is 210112202221.

It is a happy number.

It is a super-3 number, since 3×122202211012000³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37566002374 + ... + 37566005626.

It is an arithmetic number, because the mean of its divisors is an integer number (469103206572).

Almost surely, 2^{122202211012000} is an apocalyptic number.

122202211012000 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 122202211012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180135631323648).

122202211012000 is an abundant number, since it is smaller than the sum of its proper divisors (238069051635296).

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

122202211012000 is a wasteful number, since it uses less digits than its factorization.

122202211012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122202211012000 its reverse (210112202221), we get a palindrome (122412323214221).

The spelling of 122202211012000 in words is "one hundred twenty-two trillion, two hundred two billion, two hundred eleven million, twelve thousand".