123200298001 has 27 divisors (see below), whose sum is σ = 143929560817. Its totient is φ = 105355859840.

The previous prime is 123200297999. The next prime is 123200298019. The reversal of 123200298001 is 100892002321.

The square root of 123200298001 is 350999.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20736288001 + 102464010000 = 144001^2 + 320100^2 .

It is not a de Polignac number, because 123200298001 - 2¹ = 123200297999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123200290001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65635875 + ... + 65637751.

Almost surely, 2^123200298001 is an apocalyptic number.

123200298001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123200298001 is the 350999-th square number.

123200298001 is the 175500-th centered octagonal number.

It is an amenable number.

123200298001 is a deficient number, since it is larger than the sum of its proper divisors (20729262816).

123200298001 is an frugal number, since it uses more digits than its factorization.

123200298001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3810 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

It can be divided in two parts, 123200 and 298001, that added together give a square (421201 = 649²).

The spelling of 123200298001 in words is "one hundred twenty-three billion, two hundred million, two hundred ninety-eight thousand, one".