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12028348812481 = 1072324132
BaseRepresentation
bin1010111100001001000101…
…1101010100110011000001
31120120220021022100222201021
42233002101131110303001
53034033024243444411
641325425215305441
72351006460646411
oct257022135246301
946526238328637
1012028348812481
113918215365251
12142321181b281
13693364969141
142d8264a0a641
1515cd41ad8a71
hexaf091754cc1

12028348812481 has 9 divisors (see below), whose sum is σ = 12142188498531. Its totient is φ = 11915566709352.

The previous prime is 12028348812479. The next prime is 12028348812497. The reversal of 12028348812481 is 18421884382021.

The square root of 12028348812481 is 3468191.

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., 10970569474225 + 1057779338256 = 3312185^2 + 1028484^2 .

It is not a de Polignac number, because 12028348812481 - 21 = 12028348812479 is a prime.

It is a super-2 number, since 2×120283488124812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12028348816481) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 371080231 + ... + 371112643.

Almost surely, 212028348812481 is an apocalyptic number.

12028348812481 is the 3468191-st square number.

12028348812481 is the 1734096-th centered octagonal number.

It is an amenable number.

12028348812481 is a deficient number, since it is larger than the sum of its proper divisors (113839686050).

12028348812481 is an frugal number, since it uses more digits than its factorization.

12028348812481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65040 (or 32520 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 52.

The spelling of 12028348812481 in words is "twelve trillion, twenty-eight billion, three hundred forty-eight million, eight hundred twelve thousand, four hundred eighty-one".

Divisors: 1 107 11449 32413 3468191 371096437 1050602569 112414474883 12028348812481