212001111001120 has 48 divisors (see below), whose sum is σ = 572402999706048. Its totient is φ = 72686095200000.

The previous prime is 212001111001087. The next prime is 212001111001123. The reversal of 212001111001120 is 21100111100212.

It is a happy number.

It is a super-3 number, since 3×212001111001120³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212001111001120.

It is not an unprimeable number, because it can be changed into a prime (212001111001123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94643352006 + ... + 94643354245.

It is an arithmetic number, because the mean of its divisors is an integer number (11925062493876).

Almost surely, 2^{212001111001120} is an apocalyptic number.

212001111001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001111001120 is an abundant number, since it is smaller than the sum of its proper divisors (360401888704928).

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

212001111001120 is a wasteful number, since it uses less digits than its factorization.

212001111001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189286706273 (or 189286706265 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212001111001120 its reverse (21100111100212), we get a palindrome (233101222101332).

The spelling of 212001111001120 in words is "two hundred twelve trillion, one billion, one hundred eleven million, one thousand, one hundred twenty".