1287656451120 has 160 divisors (see below), whose sum is σ = 4305974400000. Its totient is φ = 316431977472.

The previous prime is 1287656451119. The next prime is 1287656451149. The reversal of 1287656451120 is 211546567821.

It is a happy number.

It is a super-2 number, since 2×1287656451120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1287656451120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1524381 + ... + 2213379.

It is an arithmetic number, because the mean of its divisors is an integer number (26912340000).

Almost surely, 2^{1287656451120} is an apocalyptic number.

1287656451120 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 1287656451120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152987200000).

1287656451120 is an abundant number, since it is smaller than the sum of its proper divisors (3018317948880).

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

1287656451120 is a wasteful number, since it uses less digits than its factorization.

1287656451120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689627 (or 689621 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 1287656451120 in words is "one trillion, two hundred eighty-seven billion, six hundred fifty-six million, four hundred fifty-one thousand, one hundred twenty".