1225133013104 has 240 divisors, whose sum is σ = 3221480520384. Its totient is φ = 439197327360.

The previous prime is 1225133013067. The next prime is 1225133013191. The reversal of 1225133013104 is 4013103315221.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55836824 + ... + 55858760.

Almost surely, 2^{1225133013104} is an apocalyptic number.

1225133013104 is a gapful number since it is divisible by the number (14) 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 1225133013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610740260192).

1225133013104 is an abundant number, since it is smaller than the sum of its proper divisors (1996347507280).

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

1225133013104 is a wasteful number, since it uses less digits than its factorization.

1225133013104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22304 (or 22287 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 1225133013104 its reverse (4013103315221), we get a palindrome (5238236328325).

The spelling of 1225133013104 in words is "one trillion, two hundred twenty-five billion, one hundred thirty-three million, thirteen thousand, one hundred four".