1225145035620 has 192 divisors, whose sum is σ = 4167953153280. Its totient is φ = 296298777600.

The previous prime is 1225145035619. The next prime is 1225145035637. The reversal of 1225145035620 is 265305415221.

1225145035620 is a `hidden beast` number, since 1 + 2 + 2 + 51 + 45 + 0 + 3 + 562 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2255784 + ... + 2745696.

It is an arithmetic number, because the mean of its divisors is an integer number (21708089340).

Almost surely, 2^{1225145035620} is an apocalyptic number.

1225145035620 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 1225145035620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083976576640).

1225145035620 is an abundant number, since it is smaller than the sum of its proper divisors (2942808117660).

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

1225145035620 is a wasteful number, since it uses less digits than its factorization.

1225145035620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490363 (or 490355 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1225145035620 in words is "one trillion, two hundred twenty-five billion, one hundred forty-five million, thirty-five thousand, six hundred twenty".