1272100 has 18 divisors (see below), whose sum is σ = 2760674. Its totient is φ = 508800.

The previous prime is 1272091. The next prime is 1272109. The reversal of 1272100 is 12721.

It is an interprime number because it is at equal distance from previous prime (1272091) and next prime (1272109).

It can be written as a sum of positive squares in 3 ways, for example, as 256036 + 1016064 = 506^2 + 1008^2 .

It is not an unprimeable number, because it can be changed into a prime (1272109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6261 + ... + 6460.

2^1272100 is an apocalyptic number.

1272100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1272100 is an abundant number, since it is smaller than the sum of its proper divisors (1488574).

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

1272100 is a wasteful number, since it uses less digits than its factorization.

1272100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12735 (or 12728 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 1272100 is about 1127.8741064498. The cubic root of 1272100 is about 108.3528695865.

Adding to 1272100 its reverse (12721), we get a palindrome (1284821).

Multiplying 1272100 by its reverse (12721), we get a square (16182384100 = 127210²).

1272100 divided by its reverse (12721) gives a square (100 = 10²).

The spelling of 1272100 in words is "one million, two hundred seventy-two thousand, one hundred".