211220212121000 has 128 divisors (see below), whose sum is σ = 498701101916160. Its totient is φ = 83728333696000.

The previous prime is 211220212120999. The next prime is 211220212121011. The reversal of 211220212121000 is 121212022112.

It is a super-2 number, since 2×211220212121000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211220212121000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805219865 + ... + 805482135.

It is an arithmetic number, because the mean of its divisors is an integer number (3896102358720).

Almost surely, 2^{211220212121000} is an apocalyptic number.

211220212121000 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 211220212121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249350550958080).

211220212121000 is an abundant number, since it is smaller than the sum of its proper divisors (287480889795160).

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

211220212121000 is a wasteful number, since it uses less digits than its factorization.

211220212121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269532 (or 269518 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211220212121000 its reverse (121212022112), we get a palindrome (211341424143112).

The spelling of 211220212121000 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred twelve million, one hundred twenty-one thousand".