212012010211120 has 480 divisors, whose sum is σ = 598403842702848. Its totient is φ = 68410328481792.

The previous prime is 212012010211063. The next prime is 212012010211193. The reversal of 212012010211120 is 21112010210212.

It is a super-2 number, since 2×212012010211120² (a number of 29 digits) contains 22 as substring.

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 = 212012010211094 and 212012010211103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18002202672 + ... + 18002214448.

Almost surely, 2^{212012010211120} is an apocalyptic number.

212012010211120 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 212012010211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299201921351424).

212012010211120 is an abundant number, since it is smaller than the sum of its proper divisors (386391832491728).

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

212012010211120 is a wasteful number, since it uses less digits than its factorization.

212012010211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12817 (or 12788 counting only the distinct ones).

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

Adding to 212012010211120 its reverse (21112010210212), we get a palindrome (233124020421332).

The spelling of 212012010211120 in words is "two hundred twelve trillion, twelve billion, ten million, two hundred eleven thousand, one hundred twenty".