1225335102400 has 84 divisors (see below), whose sum is σ = 3016054692288. Its totient is φ = 489977251840.

The previous prime is 1225335102379. The next prime is 1225335102527. The reversal of 1225335102400 is 42015335221.

It is a super-3 number, since 3×1225335102400³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4946292 + ... + 5188108.

Almost surely, 2^{1225335102400} is an apocalyptic number.

1225335102400 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 1225335102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508027346144).

1225335102400 is an abundant number, since it is smaller than the sum of its proper divisors (1790719589888).

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

1225335102400 is a wasteful number, since it uses less digits than its factorization.

1225335102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245006 (or 244991 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 1225335102400 in words is "one trillion, two hundred twenty-five billion, three hundred thirty-five million, one hundred two thousand, four hundred".