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20121231420 = 22325195883401
BaseRepresentation
bin10010101111010100…
…011010000000111100
31220221021122110111100
4102233110122000330
5312202013401140
613124335453100
71311423434163
oct225724320074
956837573440
1020121231420
118595a01a84
123a96687190
131b888431c4
14d8c4423da
157cb716530
hex4af51a03c

20121231420 has 72 divisors (see below), whose sum is σ = 64246749840. Its totient is φ = 5083257600.

The previous prime is 20121231409. The next prime is 20121231437. The reversal of 20121231420 is 2413212102.

It is a happy number.

20121231420 is a `hidden beast` number, since 2 + 0 + 1 + 212 + 31 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20121231393 and 20121231402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2938281 + ... + 2945120.

It is an arithmetic number, because the mean of its divisors is an integer number (892315970).

Almost surely, 220121231420 is an apocalyptic number.

20121231420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121231420 is an abundant number, since it is smaller than the sum of its proper divisors (44125518420).

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

20121231420 is a wasteful number, since it uses less digits than its factorization.

20121231420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883435 (or 5883430 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20121231420 its reverse (2413212102), we get a palindrome (22534443522).

The spelling of 20121231420 in words is "twenty billion, one hundred twenty-one million, two hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 5883401 11766802 17650203 23533604 29417005 35300406 52950609 58834010 70600812 88251015 105901218 111784619 117668020 176502030 211802436 223569238 264753045 335353857 353004060 447138476 529506090 558923095 670707714 1006061571 1059012180 1117846190 1341415428 1676769285 2012123142 2235692380 3353538570 4024246284 5030307855 6707077140 10060615710 20121231420