1263848124100 has 135 divisors (see below), whose sum is σ = 2921467929667. Its totient is φ = 474578506240.

The previous prime is 1263848124053. The next prime is 1263848124109. The reversal of 1263848124100 is 14218483621.

The square root of 1263848124100 is 1124210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 1227278446276 + 36569677824 = 1107826^2 + 191232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1263848124109) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3248966706 + ... + 3248967094.

Almost surely, 2^{1263848124100} is an apocalyptic number.

1263848124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1263848124100 is the 1124210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1263848124100

1263848124100 is an abundant number, since it is smaller than the sum of its proper divisors (1657619805567).

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

1263848124100 is an frugal number, since it uses more digits than its factorization.

1263848124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 1263848124100 in words is "one trillion, two hundred sixty-three billion, eight hundred forty-eight million, one hundred twenty-four thousand, one hundred".