12101210352 has 640 divisors, whose sum is σ = 46797004800. Its totient is φ = 2898892800.

The previous prime is 12101210323. The next prime is 12101210357. The reversal of 12101210352 is 25301210121.

12101210352 is a `hidden beast` number, since 1 + 2 + 101 + 210 + 352 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101210357) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25912423 + ... + 25912889.

It is an arithmetic number, because the mean of its divisors is an integer number (73120320).

Almost surely, 2^12101210352 is an apocalyptic number.

12101210352 is a gapful number since it is divisible by the number (12) 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 12101210352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23398502400).

12101210352 is an abundant number, since it is smaller than the sum of its proper divisors (34695794448).

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

12101210352 is a wasteful number, since it uses less digits than its factorization.

12101210352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12101210352 its reverse (25301210121), we get a palindrome (37402420473).

The spelling of 12101210352 in words is "twelve billion, one hundred one million, two hundred ten thousand, three hundred fifty-two".