1127721231 has 256 divisors, whose sum is σ = 2419200000. Its totient is φ = 512096256.

The previous prime is 1127721223. The next prime is 1127721247. The reversal of 1127721231 is 1321277211.

It is not a de Polignac number, because 1127721231 - 2³ = 1127721223 is a prime.

It is a super-2 number, since 2×1127721231² = 2543510349696310722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1127721195 and 1127721204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127721281) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38886925 + ... + 38886953.

It is an arithmetic number, because the mean of its divisors is an integer number (9450000).

Almost surely, 2^1127721231 is an apocalyptic number.

1127721231 is an abundant number, since it is smaller than the sum of its proper divisors (1291478769).

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

1127721231 is a wasteful number, since it uses less digits than its factorization.

1127721231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 1127721231 is about 33581.5608779580. The cubic root of 1127721231 is about 1040.8798123832.

Adding to 1127721231 its reverse (1321277211), we get a palindrome (2448998442).

It can be divided in two parts, 112772 and 1231, that added together give a triangular number (114003 = T₄₇₇).

The spelling of 1127721231 in words is "one billion, one hundred twenty-seven million, seven hundred twenty-one thousand, two hundred thirty-one".