12249263829060 has 144 divisors (see below), whose sum is σ = 38781557732736. Its totient is φ = 3123646073856.

The previous prime is 12249263829017. The next prime is 12249263829107. The reversal of 12249263829060 is 6092836294221.

12249263829060 is a `hidden beast` number, since 1 + 2 + 2 + 492 + 6 + 3 + 8 + 2 + 90 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12249263828988 and 12249263829006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15796332 + ... + 16553628.

It is an arithmetic number, because the mean of its divisors is an integer number (269316373144).

Almost surely, 2^{12249263829060} is an apocalyptic number.

12249263829060 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 12249263829060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19390778866368).

12249263829060 is an abundant number, since it is smaller than the sum of its proper divisors (26532293903676).

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

12249263829060 is a wasteful number, since it uses less digits than its factorization.

12249263829060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761242 (or 761237 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 12249263829060 in words is "twelve trillion, two hundred forty-nine billion, two hundred sixty-three million, eight hundred twenty-nine thousand, sixty".