1218861250992 has 640 divisors, whose sum is σ = 4465428480000. Its totient is φ = 315553916160.

The previous prime is 1218861250991. The next prime is 1218861250993. The reversal of 1218861250992 is 2990521688121.

1218861250992 is a `hidden beast` number, since 1 + 2 + 18 + 8 + 612 + 5 + 0 + 9 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1218861250991) and next prime (1218861250993).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1218861250991) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 585145983 + ... + 585148065.

It is an arithmetic number, because the mean of its divisors is an integer number (6977232000).

Almost surely, 2^{1218861250992} is an apocalyptic number.

1218861250992 is a gapful number since it is divisible by the number (12) 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 1218861250992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232714240000).

1218861250992 is an abundant number, since it is smaller than the sum of its proper divisors (3246567229008).

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

1218861250992 is a wasteful number, since it uses less digits than its factorization.

1218861250992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 1218861250992 in words is "one trillion, two hundred eighteen billion, eight hundred sixty-one million, two hundred fifty thousand, nine hundred ninety-two".