10123155063252 has 576 divisors, whose sum is σ = 34021556674560. Its totient is φ = 2458584576000.

The previous prime is 10123155063223. The next prime is 10123155063293. The reversal of 10123155063252 is 25236055132101.

10123155063252 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 15 + 5 + 0 + 632 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1792657893 + ... + 1792663539.

It is an arithmetic number, because the mean of its divisors is an integer number (59065202560).

Almost surely, 2^{10123155063252} is an apocalyptic number.

10123155063252 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 10123155063252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17010778337280).

10123155063252 is an abundant number, since it is smaller than the sum of its proper divisors (23898401611308).

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

10123155063252 is a wasteful number, since it uses less digits than its factorization.

10123155063252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132 (or 6127 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 10123155063252 in words is "ten trillion, one hundred twenty-three billion, one hundred fifty-five million, sixty-three thousand, two hundred fifty-two".