201212211221120 has 128 divisors (see below), whose sum is σ = 527785554343680. Its totient is φ = 72745139507200.

The previous prime is 201212211221081. The next prime is 201212211221123. The reversal of 201212211221120 is 21122112212102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201212211221092 and 201212211221101.

It is not an unprimeable number, because it can be changed into a prime (201212211221123) 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, 81386936 + ... + 83822775.

It is an arithmetic number, because the mean of its divisors is an integer number (4123324643310).

Almost surely, 2^{201212211221120} is an apocalyptic number.

201212211221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212211221120 is an abundant number, since it is smaller than the sum of its proper divisors (326573343122560).

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

201212211221120 is a wasteful number, since it uses less digits than its factorization.

201212211221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165209914 (or 165209902 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 201212211221120 its reverse (21122112212102), we get a palindrome (222334323433222).

The spelling of 201212211221120 in words is "two hundred one trillion, two hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty".