122200201201000 has 256 divisors, whose sum is σ = 308993942799360. Its totient is φ = 44966431641600.

The previous prime is 122200201200947. The next prime is 122200201201027. The reversal of 122200201201000 is 102102002221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13243758387 + ... + 13243767613.

It is an arithmetic number, because the mean of its divisors is an integer number (1207007589060).

Almost surely, 2^{122200201201000} is an apocalyptic number.

122200201201000 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 122200201201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154496971399680).

122200201201000 is an abundant number, since it is smaller than the sum of its proper divisors (186793741598360).

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

122200201201000 is a wasteful number, since it uses less digits than its factorization.

122200201201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12621 (or 12607 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122200201201000 its reverse (102102002221), we get a palindrome (122302303203221).

The spelling of 122200201201000 in words is "one hundred twenty-two trillion, two hundred billion, two hundred one million, two hundred one thousand".