1127713706000 has 160 divisors (see below), whose sum is σ = 3129973716480. Its totient is φ = 384955200000.

The previous prime is 1127713705931. The next prime is 1127713706059. The reversal of 1127713706000 is 6073177211.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3030125 + ... + 3381875.

It is an arithmetic number, because the mean of its divisors is an integer number (19562335728).

Almost surely, 2^{1127713706000} is an apocalyptic number.

1127713706000 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 1127713706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564986858240).

1127713706000 is an abundant number, since it is smaller than the sum of its proper divisors (2002260010480).

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

1127713706000 is a wasteful number, since it uses less digits than its factorization.

1127713706000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352010 (or 351994 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 35.

The spelling of 1127713706000 in words is "one trillion, one hundred twenty-seven billion, seven hundred thirteen million, seven hundred six thousand".