12121211322000 has 480 divisors, whose sum is σ = 47432264390784. Its totient is φ = 2859055488000.

The previous prime is 12121211321971. The next prime is 12121211322001. The reversal of 12121211322000 is 22311212121.

12121211322000 is a `hidden beast` number, since 1 + 212 + 121 + 132 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12121211322001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6498727 + ... + 8153273.

Almost surely, 2^{12121211322000} is an apocalyptic number.

12121211322000 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 12121211322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23716132195392).

12121211322000 is an abundant number, since it is smaller than the sum of its proper divisors (35311053068784).

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

12121211322000 is a wasteful number, since it uses less digits than its factorization.

12121211322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654624 (or 1654605 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12121211322000 its reverse (22311212121), we get a palindrome (12143522534121).

The spelling of 12121211322000 in words is "twelve trillion, one hundred twenty-one billion, two hundred eleven million, three hundred twenty-two thousand".