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12252035166441 = 372811667315401
BaseRepresentation
bin1011001001001010011000…
…1101000011000011101001
31121101021122101201010102120
42302102212031003003221
53101214132000311231
642020301322221453
72403115565411100
oct262224615030351
947337571633376
1012252035166441
1139a4071494794
12145a639954889
136ab4922b9575
14305004801037
15163a84746d96
hexb24a63430e9

12252035166441 has 48 divisors (see below), whose sum is σ = 19030675220928. Its totient is φ = 6991028352000.

The previous prime is 12252035166433. The next prime is 12252035166487. The reversal of 12252035166441 is 14466153025221.

It is not a de Polignac number, because 12252035166441 - 23 = 12252035166433 is a prime.

It is a super-2 number, since 2×122520351664412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12252035166393 and 12252035166402.

It is not an unprimeable number, because it can be changed into a prime (12252035166401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 795527341 + ... + 795542741.

It is an arithmetic number, because the mean of its divisors is an integer number (396472400436).

Almost surely, 212252035166441 is an apocalyptic number.

It is an amenable number.

12252035166441 is a deficient number, since it is larger than the sum of its proper divisors (6778640054487).

12252035166441 is a wasteful number, since it uses less digits than its factorization.

12252035166441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22902 (or 22895 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 12252035166441 in words is "twelve trillion, two hundred fifty-two billion, thirty-five million, one hundred sixty-six thousand, four hundred forty-one".

Divisors: 1 3 7 21 49 147 811 2433 5677 6673 15401 17031 20019 39739 46203 46711 107807 119217 140133 323421 326977 754649 980931 2263947 5411803 12490211 16235409 37470633 37882621 87431477 102770873 113647863 262294431 265178347 308312619 612020339 719396111 795535041 1836061017 2158188333 5035772777 15107318331 83347178003 250041534009 583430246021 1750290738063 4084011722147 12252035166441