212210121001120 has 96 divisors (see below), whose sum is σ = 546963279863616. Its totient is φ = 77161683916800.

The previous prime is 212210121001093. The next prime is 212210121001129. The reversal of 212210121001120 is 21100121012212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212210121001094 and 212210121001103.

It is not an unprimeable number, because it can be changed into a prime (212210121001129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19755187 + ... + 28542733.

It is an arithmetic number, because the mean of its divisors is an integer number (5697534165246).

Almost surely, 2^{212210121001120} is an apocalyptic number.

212210121001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210121001120 is an abundant number, since it is smaller than the sum of its proper divisors (334753158862496).

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

212210121001120 is a wasteful number, since it uses less digits than its factorization.

212210121001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8801294 (or 8801286 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212210121001120 its reverse (21100121012212), we get a palindrome (233310242013332).

The spelling of 212210121001120 in words is "two hundred twelve trillion, two hundred ten billion, one hundred twenty-one million, one thousand, one hundred twenty".