212001221120 has 160 divisors (see below), whose sum is σ = 557739583632. Its totient is φ = 76799803392.

The previous prime is 212001221111. The next prime is 212001221123. The reversal of 212001221120 is 21122100212.

It can be written as a sum of positive squares in 8 ways, for example, as 37785139456 + 174216081664 = 194384^2 + 417392^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×212001221120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212001221095 and 212001221104.

It is not an unprimeable number, because it can be changed into a prime (212001221123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1703744 + ... + 1823936.

Almost surely, 2^212001221120 is an apocalyptic number.

212001221120 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 212001221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278869791816).

212001221120 is an abundant number, since it is smaller than the sum of its proper divisors (345738362512).

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

212001221120 is a wasteful number, since it uses less digits than its factorization.

212001221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120282 (or 120266 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212001221120 its reverse (21122100212), we get a palindrome (233123321332).

The spelling of 212001221120 in words is "two hundred twelve billion, one million, two hundred twenty-one thousand, one hundred twenty".