1271900 has 72 divisors (see below), whose sum is σ = 3333120. Its totient is φ = 411840.

The previous prime is 1271849. The next prime is 1271903. The reversal of 1271900 is 91721.

1271900 = T₃₂₁ + T₃₂₂ + ... + T₃₄₃.

It is a super-2 number, since 2×1271900² = 3235459220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16061 + ... + 16139.

2^1271900 is an apocalyptic number.

1271900 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 1271900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666560).

1271900 is an abundant number, since it is smaller than the sum of its proper divisors (2061220).

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

1271900 is a wasteful number, since it uses less digits than its factorization.

1271900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 1271900 is about 1127.7854405870. The cubic root of 1271900 is about 108.3471908638.

The spelling of 1271900 in words is "one million, two hundred seventy-one thousand, nine hundred".