123728062500 has 567 divisors, whose sum is σ = 461657352429. Its totient is φ = 27858600000.

The previous prime is 123728062489. The next prime is 123728062511. The reversal of 123728062500 is 5260827321.

The square root of 123728062500 is 351750.

It is a perfect power (a square), and thus also a powerful number.

123728062500 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 28 + 0 + 625 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123728062489) and next prime (123728062511).

It can be written as a sum of positive squares in 3 ways, for example, as 108397660644 + 15330401856 = 329238^2 + 123816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1846687467 + ... + 1846687533.

Almost surely, 2^123728062500 is an apocalyptic number.

123728062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123728062500 is the 351750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123728062500

123728062500 is an abundant number, since it is smaller than the sum of its proper divisors (337929289929).

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

123728062500 is an frugal number, since it uses more digits than its factorization.

123728062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 123728062500 by its sum of digits (36), we get a square (4454210250000 = 2110500²).

123728062500 divided by its sum of digits (36) gives a square (3436890625 = 58625²).

Adding to 123728062500 its reverse (5260827321), we get a palindrome (128988889821).

The spelling of 123728062500 in words is "one hundred twenty-three billion, seven hundred twenty-eight million, sixty-two thousand, five hundred".