122212000020000 has 480 divisors, whose sum is σ = 439740002205504. Its totient is φ = 29463436800000.

The previous prime is 122212000019987. The next prime is 122212000020031. The reversal of 122212000020000 is 20000212221.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118948482 + ... + 119971518.

Almost surely, 2^{122212000020000} is an apocalyptic number.

122212000020000 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 122212000020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219870001102752).

122212000020000 is an abundant number, since it is smaller than the sum of its proper divisors (317528002185504).

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

122212000020000 is a wasteful number, since it uses less digits than its factorization.

122212000020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023262 (or 1023239 counting only the distinct ones).

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

Adding to 122212000020000 its reverse (20000212221), we get a palindrome (122232000232221).

The spelling of 122212000020000 in words is "one hundred twenty-two trillion, two hundred twelve billion, twenty thousand".