221210121201120 has 72 divisors (see below), whose sum is σ = 754879538603736. Its totient is φ = 58989365653248.

The previous prime is 221210121201073. The next prime is 221210121201127. The reversal of 221210121201120 is 21102121012122.

221210121201120 is a `hidden beast` number, since 2 + 212 + 10 + 121 + 201 + 120 = 666.

221210121201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×221210121201120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221210121201093 and 221210121201102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221210121201127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76809068422 + ... + 76809071301.

It is an arithmetic number, because the mean of its divisors is an integer number (10484438036163).

Almost surely, 2^{221210121201120} is an apocalyptic number.

221210121201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221210121201120 is an abundant number, since it is smaller than the sum of its proper divisors (533669417402616).

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

221210121201120 is a wasteful number, since it uses less digits than its factorization.

221210121201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153618139744 (or 153618139733 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221210121201120 its reverse (21102121012122), we get a palindrome (242312242213242).

The spelling of 221210121201120 in words is "two hundred twenty-one trillion, two hundred ten billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty".