121122211212000 has 288 divisors, whose sum is σ = 441480644002944. Its totient is φ = 31426303104000.

The previous prime is 121122211211993. The next prime is 121122211212031. The reversal of 121122211212000 is 212112221121.

121122211212000 is a `hidden beast` number, since 1 + 211 + 22 + 211 + 21 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44134296 + ... + 46798295.

It is an arithmetic number, because the mean of its divisors is an integer number (1532918902788).

Almost surely, 2^{121122211212000} is an apocalyptic number.

121122211212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122211212000 is an abundant number, since it is smaller than the sum of its proper divisors (320358432790944).

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

121122211212000 is a wasteful number, since it uses less digits than its factorization.

121122211212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90932659 (or 90932638 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121122211212000 its reverse (212112221121), we get a palindrome (121334323433121).

The spelling of 121122211212000 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred eleven million, two hundred twelve thousand".