212202011211120 has 320 divisors, whose sum is σ = 839532576000000. Its totient is φ = 48259580903424.

The previous prime is 212202011211097. The next prime is 212202011211167. The reversal of 212202011211120 is 21112110202212.

212202011211120 is a `hidden beast` number, since 2 + 1 + 220 + 201 + 121 + 1 + 120 = 666.

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 = 212202011211093 and 212202011211102.

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, 32253745 + ... + 38271504.

It is an arithmetic number, because the mean of its divisors is an integer number (2623539300000).

Almost surely, 2^{212202011211120} is an apocalyptic number.

212202011211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202011211120 is an abundant number, since it is smaller than the sum of its proper divisors (627330564788880).

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

212202011211120 is a wasteful number, since it uses less digits than its factorization.

212202011211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70525477 (or 70525465 counting only the distinct ones).

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

Adding to 212202011211120 its reverse (21112110202212), we get a palindrome (233314121413332).

The spelling of 212202011211120 in words is "two hundred twelve trillion, two hundred two billion, eleven million, two hundred eleven thousand, one hundred twenty".