1263509052120 has 512 divisors, whose sum is σ = 4973023641600. Its totient is φ = 279239270400.

The previous prime is 1263509052119. The next prime is 1263509052121. The reversal of 1263509052120 is 212509053621.

It is a happy number.

1263509052120 is a `hidden beast` number, since 1 + 2 + 6 + 350 + 90 + 5 + 212 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1263509052119) and next prime (1263509052121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1263509052121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 436142512 + ... + 436145408.

It is an arithmetic number, because the mean of its divisors is an integer number (9712936800).

Almost surely, 2^{1263509052120} is an apocalyptic number.

1263509052120 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 1263509052120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486511820800).

1263509052120 is an abundant number, since it is smaller than the sum of its proper divisors (3709514589480).

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

1263509052120 is a wasteful number, since it uses less digits than its factorization.

1263509052120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

It can be divided in two parts, 126350 and 9052120, that added together give a triangular number (9178470 = T₄₂₈₄).

The spelling of 1263509052120 in words is "one trillion, two hundred sixty-three billion, five hundred nine million, fifty-two thousand, one hundred twenty".