122032000200000 has 672 divisors, whose sum is σ = 440499246243840. Its totient is φ = 29567289600000.

The previous prime is 122032000199999. The next prime is 122032000200073. The reversal of 122032000200000 is 2000230221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15727796121 + ... + 15727803879.

It is an arithmetic number, because the mean of its divisors is an integer number (655504830720).

Almost surely, 2^{122032000200000} is an apocalyptic number.

122032000200000 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 122032000200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220249623121920).

122032000200000 is an abundant number, since it is smaller than the sum of its proper divisors (318467246043840).

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

122032000200000 is an equidigital number, since it uses as much as digits as its factorization.

122032000200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10193 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 122032000200000 its reverse (2000230221), we get a palindrome (122034000430221).

The spelling of 122032000200000 in words is "one hundred twenty-two trillion, thirty-two billion, two hundred thousand".