122010200000 has 336 divisors, whose sum is σ = 329020066368. Its totient is φ = 44620800000.

The previous prime is 122010199967. The next prime is 122010200003. The reversal of 122010200000 is 2010221.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010200003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434199860 + ... + 434200140.

It is an arithmetic number, because the mean of its divisors is an integer number (979226388).

Almost surely, 2^122010200000 is an apocalyptic number.

122010200000 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 122010200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164510033184).

122010200000 is an abundant number, since it is smaller than the sum of its proper divisors (207009866368).

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

122010200000 is an equidigital number, since it uses as much as digits as its factorization.

122010200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 122010200000 its reverse (2010221), we get a palindrome (122012210221).

The spelling of 122010200000 in words is "one hundred twenty-two billion, ten million, two hundred thousand".