211211432201220 has 192 divisors, whose sum is σ = 646617358356480. Its totient is φ = 51086761715200.

The previous prime is 211211432201197. The next prime is 211211432201311. The reversal of 211211432201220 is 22102234112112.

It is a super-2 number, since 2×211211432201220² (a number of 29 digits) contains 22 as substring.

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, 1218611926 + ... + 1218785234.

It is an arithmetic number, because the mean of its divisors is an integer number (3367798741440).

Almost surely, 2^{211211432201220} is an apocalyptic number.

211211432201220 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 211211432201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323308679178240).

211211432201220 is an abundant number, since it is smaller than the sum of its proper divisors (435405926155260).

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

211211432201220 is a wasteful number, since it uses less digits than its factorization.

211211432201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177506 (or 177504 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 211211432201220 its reverse (22102234112112), we get a palindrome (233313666313332).

It can be divided in two parts, 21121 and 1432201220, that added together give a palindrome (1432222341).

The spelling of 211211432201220 in words is "two hundred eleven trillion, two hundred eleven billion, four hundred thirty-two million, two hundred one thousand, two hundred twenty".