102012123000 has 128 divisors (see below), whose sum is σ = 323028875520. Its totient is φ = 26797161600.

The previous prime is 102012122963. The next prime is 102012123007. The reversal of 102012123000 is 321210201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012123007) 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, 52762 + ... + 454761.

It is an arithmetic number, because the mean of its divisors is an integer number (2523663090).

Almost surely, 2^102012123000 is an apocalyptic number.

102012123000 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 102012123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161514437760).

102012123000 is an abundant number, since it is smaller than the sum of its proper divisors (221016752520).

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

102012123000 is a wasteful number, since it uses less digits than its factorization.

102012123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507614 (or 507600 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102012123000 its reverse (321210201), we get a palindrome (102333333201).

The spelling of 102012123000 in words is "one hundred two billion, twelve million, one hundred twenty-three thousand".