123251212100 has 216 divisors, whose sum is σ = 300524280840. Its totient is φ = 43716464640.

The previous prime is 123251212087. The next prime is 123251212127. The reversal of 123251212100 is 1212152321.

It can be written as a sum of positive squares in 12 ways, for example, as 472453696 + 122778758404 = 21736^2 + 350398^2 .

It is a super-2 number, since 2×123251212100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 140536862 + ... + 140537738.

It is an arithmetic number, because the mean of its divisors is an integer number (1391316115).

Almost surely, 2^123251212100 is an apocalyptic number.

123251212100 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 123251212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150262140420).

123251212100 is an abundant number, since it is smaller than the sum of its proper divisors (177273068740).

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

123251212100 is a wasteful number, since it uses less digits than its factorization.

123251212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 123251212100 its reverse (1212152321), we get a palindrome (124463364421).

The spelling of 123251212100 in words is "one hundred twenty-three billion, two hundred fifty-one million, two hundred twelve thousand, one hundred".