122002002012000 has 384 divisors, whose sum is σ = 450077922717696. Its totient is φ = 28622169600000.

The previous prime is 122002002011971. The next prime is 122002002012083. The reversal of 122002002012000 is 210200200221.

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 (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10815381 + ... + 18999380.

It is an arithmetic number, because the mean of its divisors is an integer number (1172077923744).

Almost surely, 2^{122002002012000} is an apocalyptic number.

122002002012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002002012000 is an abundant number, since it is smaller than the sum of its proper divisors (328075920705696).

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

122002002012000 is a wasteful number, since it uses less digits than its factorization.

122002002012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29814831 (or 29814813 counting only the distinct ones).

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

Adding to 122002002012000 its reverse (210200200221), we get a palindrome (122212202212221).

The spelling of 122002002012000 in words is "one hundred twenty-two trillion, two billion, two million, twelve thousand".