10123011221232 has 320 divisors, whose sum is σ = 33324764856320. Its totient is φ = 2575865318400.

The previous prime is 10123011221209. The next prime is 10123011221237. The reversal of 10123011221232 is 23212211032101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10123011221199 and 10123011221208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123011221237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44707119 + ... + 44932977.

It is an arithmetic number, because the mean of its divisors is an integer number (104139890176).

Almost surely, 2^{10123011221232} is an apocalyptic number.

10123011221232 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 10123011221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16662382428160).

10123011221232 is an abundant number, since it is smaller than the sum of its proper divisors (23201753635088).

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

10123011221232 is a wasteful number, since it uses less digits than its factorization.

10123011221232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226252 (or 226246 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10123011221232 its reverse (23212211032101), we get a palindrome (33335222253333).

The spelling of 10123011221232 in words is "ten trillion, one hundred twenty-three billion, eleven million, two hundred twenty-one thousand, two hundred thirty-two".