212122012101120 has 320 divisors, whose sum is σ = 821972799838080. Its totient is φ = 51423517900800.

The previous prime is 212122012101113. The next prime is 212122012101133. The reversal of 212122012101120 is 21101210221212.

212122012101120 is a `hidden beast` number, since 2 + 121 + 220 + 1 + 210 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 212122012101093 and 212122012101102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138734901 + ... + 140255540.

It is an arithmetic number, because the mean of its divisors is an integer number (2568664999494).

Almost surely, 2^{212122012101120} is an apocalyptic number.

212122012101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122012101120 is an abundant number, since it is smaller than the sum of its proper divisors (609850787736960).

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

212122012101120 is a wasteful number, since it uses less digits than its factorization.

212122012101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278990484 (or 278990462 counting only the distinct ones).

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

Adding to 212122012101120 its reverse (21101210221212), we get a palindrome (233223222322332).

The spelling of 212122012101120 in words is "two hundred twelve trillion, one hundred twenty-two billion, twelve million, one hundred one thousand, one hundred twenty".