122312200221000 has 768 divisors, whose sum is σ = 422581985280000. Its totient is φ = 31902361920000.

The previous prime is 122312200220981. The next prime is 122312200221049. The reversal of 122312200221000 is 122002213221.

122312200221000 is a `hidden beast` number, since 1 + 2 + 231 + 220 + 0 + 2 + 210 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 44984257641 + ... + 44984260359.

It is an arithmetic number, because the mean of its divisors is an integer number (550236960000).

Almost surely, 2^{122312200221000} is an apocalyptic number.

122312200221000 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 122312200221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211290992640000).

122312200221000 is an abundant number, since it is smaller than the sum of its proper divisors (300269785059000).

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

122312200221000 is a wasteful number, since it uses less digits than its factorization.

122312200221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122312200221000 its reverse (122002213221), we get a palindrome (122434202434221).

The spelling of 122312200221000 in words is "one hundred twenty-two trillion, three hundred twelve billion, two hundred million, two hundred twenty-one thousand".