1305261107220 has 144 divisors (see below), whose sum is σ = 4309661256768. Its totient is φ = 294258424320.

The previous prime is 1305261107207. The next prime is 1305261107257. The reversal of 1305261107220 is 227011625031.

It is a super-2 number, since 2×1305261107220² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2826246 + ... + 3255485.

It is an arithmetic number, because the mean of its divisors is an integer number (29928203172).

Almost surely, 2^{1305261107220} is an apocalyptic number.

1305261107220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305261107220 is an abundant number, since it is smaller than the sum of its proper divisors (3004400149548).

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

1305261107220 is a wasteful number, since it uses less digits than its factorization.

1305261107220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6081830 (or 6081821 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 1305261107220 in words is "one trillion, three hundred five billion, two hundred sixty-one million, one hundred seven thousand, two hundred twenty".