122020012002000 has 320 divisors, whose sum is σ = 449937225174528. Its totient is φ = 27868838400000.

The previous prime is 122020012001977. The next prime is 122020012002043. The reversal of 122020012002000 is 200210020221.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53525460 + ... + 55758540.

Almost surely, 2^{122020012002000} is an apocalyptic number.

122020012002000 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 122020012002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224968612587264).

122020012002000 is an abundant number, since it is smaller than the sum of its proper divisors (327917213172528).

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

122020012002000 is a wasteful number, since it uses less digits than its factorization.

122020012002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234415 (or 2234399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122020012002000 its reverse (200210020221), we get a palindrome (122220222022221).

The spelling of 122020012002000 in words is "one hundred twenty-two trillion, twenty billion, twelve million, two thousand".