201212210011120 has 480 divisors, whose sum is σ = 614170909420992. Its totient is φ = 60579993600000.

The previous prime is 201212210011093. The next prime is 201212210011123. The reversal of 201212210011120 is 21110012212102.

201212210011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201212210011094 and 201212210011103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201212210011123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177996490 + ... + 179123350.

Almost surely, 2^{201212210011120} is an apocalyptic number.

201212210011120 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 201212210011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307085454710496).

201212210011120 is an abundant number, since it is smaller than the sum of its proper divisors (412958699409872).

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

201212210011120 is a wasteful number, since it uses less digits than its factorization.

201212210011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127041 (or 1127028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201212210011120 its reverse (21110012212102), we get a palindrome (222322222223222).

The spelling of 201212210011120 in words is "two hundred one trillion, two hundred twelve billion, two hundred ten million, eleven thousand, one hundred twenty".