20121425352 has 512 divisors, whose sum is σ = 70645478400. Its totient is φ = 5175705600.

The previous prime is 20121425321. The next prime is 20121425371. The reversal of 20121425352 is 25352412102.

20121425352 is a `hidden beast` number, since 2 + 0 + 121 + 4 + 2 + 535 + 2 = 666.

It is a super-2 number, since 2×20121425352² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64285548 + ... + 64285860.

It is an arithmetic number, because the mean of its divisors is an integer number (137979450).

Almost surely, 2^20121425352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121425352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35322739200).

20121425352 is an abundant number, since it is smaller than the sum of its proper divisors (50524053048).

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

20121425352 is a wasteful number, since it uses less digits than its factorization.

20121425352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 20121425352 its reverse (25352412102), we get a palindrome (45473837454).

The spelling of 20121425352 in words is "twenty billion, one hundred twenty-one million, four hundred twenty-five thousand, three hundred fifty-two".