11277312000 has 224 divisors, whose sum is σ = 37538826624. Its totient is φ = 3006464000.

The previous prime is 11277311989. The next prime is 11277312077. The reversal of 11277312000 is 21377211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3070165 + ... + 3073835.

Almost surely, 2^11277312000 is an apocalyptic number.

11277312000 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 11277312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18769413312).

11277312000 is an abundant number, since it is smaller than the sum of its proper divisors (26261514624).

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

11277312000 is an frugal number, since it uses more digits than its factorization.

11277312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

Adding to 11277312000 its reverse (21377211), we get a palindrome (11298689211).

The spelling of 11277312000 in words is "eleven billion, two hundred seventy-seven million, three hundred twelve thousand".