1277772106000 has 160 divisors (see below), whose sum is σ = 3329648326368. Its totient is φ = 471462451200.

The previous prime is 1277772105979. The next prime is 1277772106007. The reversal of 1277772106000 is 6012777721.

It can be written as a sum of positive squares in 16 ways, for example, as 860642133264 + 417129972736 = 927708^2 + 645856^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1277772106007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38801542 + ... + 38834458.

Almost surely, 2^{1277772106000} is an apocalyptic number.

1277772106000 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 1277772106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664824163184).

1277772106000 is an abundant number, since it is smaller than the sum of its proper divisors (2051876220368).

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

1277772106000 is a wasteful number, since it uses less digits than its factorization.

1277772106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34446 (or 34430 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 40.

The spelling of 1277772106000 in words is "one trillion, two hundred seventy-seven billion, seven hundred seventy-two million, one hundred six thousand".