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12102213020 = 2251973436273
BaseRepresentation
bin10110100010101100…
…10001110110011100
31011020102110010020212
423101112101312130
5144241131304040
65320520231552
7605622053612
oct132126216634
934212403225
1012102213020
115150424847
12241900b5b8
1311ab3a16c1
1482b4276b2
154ac710d65
hex2d1591d9c

12102213020 has 48 divisors (see below), whose sum is σ = 27118791840. Its totient is φ = 4523268096.

The previous prime is 12102212999. The next prime is 12102213041. The reversal of 12102213020 is 2031220121.

It is a happy number.

12102213020 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 (12102212999) and next prime (12102213041).

It is a junction number, because it is equal to n+sod(n) for n = 12102212986 and 12102213004.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 190397 + ... + 245876.

It is an arithmetic number, because the mean of its divisors is an integer number (564974830).

Almost surely, 212102213020 is an apocalyptic number.

12102213020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102213020 is an abundant number, since it is smaller than the sum of its proper divisors (15016578820).

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

12102213020 is a wasteful number, since it uses less digits than its factorization.

12102213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436374 (or 436372 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12102213020 its reverse (2031220121), we get a palindrome (14133433141).

The spelling of 12102213020 in words is "twelve billion, one hundred two million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 146 190 292 365 380 730 1387 1460 2774 5548 6935 13870 27740 436273 872546 1745092 2181365 4362730 8289187 8725460 16578374 31847929 33156748 41445935 63695858 82891870 127391716 159239645 165783740 318479290 605110651 636958580 1210221302 2420442604 3025553255 6051106510 12102213020