122002001000 has 192 divisors, whose sum is σ = 317351034000. Its totient is φ = 43862016000.

The previous prime is 122002000997. The next prime is 122002001057. The reversal of 122002001000 is 100200221.

It can be written as a sum of positive squares in 8 ways, for example, as 456335044 + 121545665956 = 21362^2 + 348634^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10763336 + ... + 10774664.

Almost surely, 2^122002001000 is an apocalyptic number.

122002001000 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 122002001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158675517000).

122002001000 is an abundant number, since it is smaller than the sum of its proper divisors (195349033000).

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

122002001000 is a wasteful number, since it uses less digits than its factorization.

122002001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11461 (or 11436 counting only the distinct ones).

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

Adding to 122002001000 its reverse (100200221), we get a palindrome (122102201221).

The spelling of 122002001000 in words is "one hundred twenty-two billion, two million, one thousand".