123454321000000 has 441 divisors, whose sum is σ = 315034099797063. Its totient is φ = 47999520000000.

The previous prime is 123454320999929. The next prime is 123454321000079. The reversal of 123454321000000 is 123454321.

The square root of 123454321000000 is 11111000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 37192726805056 + 86261594194944 = 6098584^2 + 9287712^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 455550999865 + ... + 455551000135.

Almost surely, 2^{123454321000000} is an apocalyptic number.

123454321000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123454321000000 is the 11111000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123454321000000

123454321000000 is an abundant number, since it is smaller than the sum of its proper divisors (191579778797063).

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

123454321000000 is an frugal number, since it uses more digits than its factorization.

123454321000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

123454321000000 divided by its sum of digits (25) gives a square (4938172840000 = 2222200²).

Adding to 123454321000000 its reverse (123454321), we get a palindrome (123454444454321).

123454321000000 divided by its reverse (123454321) gives a 6-th power (1000000 = 10⁶).

The spelling of 123454321000000 in words is "one hundred twenty-three trillion, four hundred fifty-four billion, three hundred twenty-one million", and thus it is an aban number.