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12191429670 = 2357276720981
BaseRepresentation
bin10110101101010101…
…00111010000100110
31011110122022210111020
423112222213100212
5144432001222140
65333424352010
7611054304510
oct132652472046
934418283436
1012191429670
115196820612
122442a75606
1311c3a0ac14
1483920cbb0
154b54856d0
hex2d6aa7426

12191429670 has 64 divisors (see below), whose sum is σ = 33453029376. Its totient is φ = 2785472640.

The previous prime is 12191429669. The next prime is 12191429671. The reversal of 12191429670 is 7692419121.

12191429670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12191429669) and next prime (12191429671).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12191429671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570580 + ... + 591560.

It is an arithmetic number, because the mean of its divisors is an integer number (522703584).

Almost surely, 212191429670 is an apocalyptic number.

12191429670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12191429670 is an abundant number, since it is smaller than the sum of its proper divisors (21261599706).

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

12191429670 is a wasteful number, since it uses less digits than its factorization.

12191429670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23765.

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 12191429670 in words is "twelve billion, one hundred ninety-one million, four hundred twenty-nine thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 2767 5534 8301 13835 16602 19369 20981 27670 38738 41505 41962 58107 62943 83010 96845 104905 116214 125886 146867 193690 209810 290535 293734 314715 440601 581070 629430 734335 881202 1468670 2203005 4406010 58054427 116108854 174163281 290272135 348326562 406380989 580544270 812761978 870816405 1219142967 1741632810 2031904945 2438285934 4063809890 6095714835 12191429670