1295371661220 has 1152 divisors, whose sum is σ = 5139820707840. Its totient is φ = 256779694080.

The previous prime is 1295371661209. The next prime is 1295371661237. The reversal of 1295371661220 is 221661735921.

1295371661220 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 3 + 7 + 1 + 6 + 612 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3417866991 + ... + 3417867369.

It is an arithmetic number, because the mean of its divisors is an integer number (4461649920).

Almost surely, 2^{1295371661220} is an apocalyptic number.

1295371661220 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 1295371661220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569910353920).

1295371661220 is an abundant number, since it is smaller than the sum of its proper divisors (3844449046620).

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

1295371661220 is a wasteful number, since it uses less digits than its factorization.

1295371661220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

It can be divided in two parts, 1295371 and 661220, that added together give a palindrome (1956591).

The spelling of 1295371661220 in words is "one trillion, two hundred ninety-five billion, three hundred seventy-one million, six hundred sixty-one thousand, two hundred twenty".