12258271334400 has 1248 divisors, whose sum is σ = 50109330797568. Its totient is φ = 2574581760000.

The previous prime is 12258271334377. The next prime is 12258271334423. The reversal of 12258271334400 is 443317285221.

It is an interprime number because it is at equal distance from previous prime (12258271334377) and next prime (12258271334423).

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×12258271334400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7016754327 + ... + 7016756073.

Almost surely, 2^{12258271334400} is an apocalyptic number.

12258271334400 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 12258271334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25054665398784).

12258271334400 is an abundant number, since it is smaller than the sum of its proper divisors (37851059463168).

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

12258271334400 is a wasteful number, since it uses less digits than its factorization.

12258271334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

It can be divided in two parts, 12258271 and 334400, that added together give a triangular number (12592671 = T₅₀₁₈).

The spelling of 12258271334400 in words is "twelve trillion, two hundred fifty-eight billion, two hundred seventy-one million, three hundred thirty-four thousand, four hundred".