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12290122288890 = 2325136556914321
BaseRepresentation
bin1011001011011000010001…
…0111111000111011111010
31121111220221202100102020100
42302312010113320323322
53102330132301221030
642050000525340230
72405634454536315
oct262660427707372
947456852312210
1012290122288890
113a092366a1596
121465aa9107676
136b1c51c79a04
14306bb8d1197c
15164a6332a360
hexb2d845f8efa

12290122288890 has 24 divisors (see below), whose sum is σ = 31954317951348. Its totient is φ = 3277365943680.

The previous prime is 12290122288853. The next prime is 12290122288891. The reversal of 12290122288890 is 9888222109221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10804178354841 + 1485943934049 = 3286971^2 + 1218993^2 .

It is not an unprimeable number, because it can be changed into a prime (12290122288891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68278457071 + ... + 68278457250.

Almost surely, 212290122288890 is an apocalyptic number.

12290122288890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12290122288890 is an abundant number, since it is smaller than the sum of its proper divisors (19664195662458).

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

12290122288890 is a wasteful number, since it uses less digits than its factorization.

12290122288890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136556914334 (or 136556914331 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 12290122288890 in words is "twelve trillion, two hundred ninety billion, one hundred twenty-two million, two hundred eighty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 136556914321 273113828642 409670742963 682784571605 819341485926 1229012228889 1365569143210 2048353714815 2458024457778 4096707429630 6145061144445 12290122288890