10123420328532 has 216 divisors, whose sum is σ = 30015812578752. Its totient is φ = 2868360768000.

The previous prime is 10123420328507. The next prime is 10123420328569. The reversal of 10123420328532 is 23582302432101.

10123420328532 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 342 + 0 + 3 + 285 + 32 = 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157921807 + ... + 157985897.

It is an arithmetic number, because the mean of its divisors is an integer number (138962095272).

Almost surely, 2^{10123420328532} is an apocalyptic number.

10123420328532 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 10123420328532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15007906289376).

10123420328532 is an abundant number, since it is smaller than the sum of its proper divisors (19892392250220).

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

10123420328532 is a wasteful number, since it uses less digits than its factorization.

10123420328532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64859 (or 64847 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10123420328532 in words is "ten trillion, one hundred twenty-three billion, four hundred twenty million, three hundred twenty-eight thousand, five hundred thirty-two".