10123213850880 has 288 divisors, whose sum is σ = 34921390917504. Its totient is φ = 2484469628928.

The previous prime is 10123213850879. The next prime is 10123213850887. The reversal of 10123213850880 is 8805831232101.

It is not an unprimeable number, because it can be changed into a prime (10123213850887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16522167 + ... + 17123913.

Almost surely, 2^{10123213850880} is an apocalyptic number.

10123213850880 is a gapful number since it is divisible by the number (10) 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 10123213850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17460695458752).

10123213850880 is an abundant number, since it is smaller than the sum of its proper divisors (24798177066624).

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

10123213850880 is a wasteful number, since it uses less digits than its factorization.

10123213850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602121 (or 602107 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 10123213850880 in words is "ten trillion, one hundred twenty-three billion, two hundred thirteen million, eight hundred fifty thousand, eight hundred eighty".