322120002012000 has 96 divisors (see below), whose sum is σ = 1055265126630624. Its totient is φ = 85898667200000.

The previous prime is 322120002011993. The next prime is 322120002012001. The reversal of 322120002012000 is 210200021223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×322120002012000³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322120002012001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13421654751 + ... + 13421678750.

It is an arithmetic number, because the mean of its divisors is an integer number (10992345069069).

Almost surely, 2^{322120002012000} is an apocalyptic number.

322120002012000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

322120002012000 is an abundant number, since it is smaller than the sum of its proper divisors (733145124618624).

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

322120002012000 is a wasteful number, since it uses less digits than its factorization.

322120002012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26843333529 (or 26843333511 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 322120002012000 its reverse (210200021223), we get a palindrome (322330202033223).

The spelling of 322120002012000 in words is "three hundred twenty-two trillion, one hundred twenty billion, two million, twelve thousand".