211212220120000 has 560 divisors, whose sum is σ = 573781696358112. Its totient is φ = 76478423040000.

The previous prime is 211212220119947. The next prime is 211212220120019. The reversal of 211212220120000 is 21022212112.

It is a happy number.

It is a super-2 number, since 2×211212220120000² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 147391639284 + ... + 147391640716.

Almost surely, 2^{211212220120000} is an apocalyptic number.

211212220120000 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 211212220120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286890848179056).

211212220120000 is an abundant number, since it is smaller than the sum of its proper divisors (362569476238112).

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

211212220120000 is a wasteful number, since it uses less digits than its factorization.

211212220120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211212220120000 its reverse (21022212112), we get a palindrome (211233242332112).

The spelling of 211212220120000 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred twenty million, one hundred twenty thousand".