1272923241121 has 81 divisors (see below), whose sum is σ = 1663452857619. Its totient is φ = 970899302016.

The previous prime is 1272923241113. The next prime is 1272923241131. The reversal of 1272923241121 is 1211423292721.

The square root of 1272923241121 is 1128239.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 991030205025 + 281893036096 = 995505^2 + 530936^2 .

It is not a de Polignac number, because 1272923241121 - 2³ = 1272923241113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1272923241131) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2550948130 + ... + 2550948628.

Almost surely, 2^{1272923241121} is an apocalyptic number.

1272923241121 is the 1128239-th square number.

1272923241121 is the 564120-th centered octagonal number.

It is an amenable number.

1272923241121 is a deficient number, since it is larger than the sum of its proper divisors (390529616498).

1272923241121 is an frugal number, since it uses more digits than its factorization.

1272923241121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 542 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The spelling of 1272923241121 in words is "one trillion, two hundred seventy-two billion, nine hundred twenty-three million, two hundred forty-one thousand, one hundred twenty-one".