12225601254240 has 288 divisors, whose sum is σ = 46742651163936. Its totient is φ = 2883679764480.

The previous prime is 12225601254233. The next prime is 12225601254241. The reversal of 12225601254240 is 4245210652221.

12225601254240 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 5 + 60 + 12 + 542 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12225601254240² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12225601254195 and 12225601254204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12225601254241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9843897 + ... + 11016056.

It is an arithmetic number, because the mean of its divisors is an integer number (162300872097).

Almost surely, 2^{12225601254240} is an apocalyptic number.

12225601254240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12225601254240 is an abundant number, since it is smaller than the sum of its proper divisors (34517049909696).

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

12225601254240 is a wasteful number, since it uses less digits than its factorization.

12225601254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20860022 (or 20860011 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 12225601254240 in words is "twelve trillion, two hundred twenty-five billion, six hundred one million, two hundred fifty-four thousand, two hundred forty".