212011001211120 has 320 divisors, whose sum is σ = 718982648165376. Its totient is φ = 51462458818560.

The previous prime is 212011001211101. The next prime is 212011001211193. The reversal of 212011001211120 is 21112100110212.

It is a happy number.

It is a super-2 number, since 2×212011001211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212011001211120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21005475 + ... + 29415165.

Almost surely, 2^{212011001211120} is an apocalyptic number.

212011001211120 is a gapful number since it is divisible by the number (20) 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 212011001211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359491324082688).

212011001211120 is an abundant number, since it is smaller than the sum of its proper divisors (506971646954256).

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

212011001211120 is a wasteful number, since it uses less digits than its factorization.

212011001211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8409928 (or 8409922 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212011001211120 its reverse (21112100110212), we get a palindrome (233123101321332).

The spelling of 212011001211120 in words is "two hundred twelve trillion, eleven billion, one million, two hundred eleven thousand, one hundred twenty".