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12020194728 = 23324713192693
BaseRepresentation
bin10110011000111010…
…11001110110101000
31011000201010011022100
423030131121312220
5144104132212403
65304430253400
7603604653333
oct131435316650
934021104270
1012020194728
1151090a5233
1223b5657260
1311973b5779
1482059761a
154a540e2a3
hex2cc759da8

12020194728 has 96 divisors (see below), whose sum is σ = 33284908800. Its totient is φ = 3917053824.

The previous prime is 12020194723. The next prime is 12020194733. The reversal of 12020194728 is 82749102021.

It is an interprime number because it is at equal distance from previous prime (12020194723) and next prime (12020194733).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12020194692 and 12020194701.

It is not an unprimeable number, because it can be changed into a prime (12020194723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4462150 + ... + 4464842.

It is an arithmetic number, because the mean of its divisors is an integer number (346717800).

Almost surely, 212020194728 is an apocalyptic number.

12020194728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020194728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642454400).

12020194728 is an abundant number, since it is smaller than the sum of its proper divisors (21264714072).

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

12020194728 is a wasteful number, since it uses less digits than its factorization.

12020194728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 12020194728 its reverse (82749102021), we get a palindrome (94769296749).

The spelling of 12020194728 in words is "twelve billion, twenty million, one hundred ninety-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1319 1692 2638 2693 3384 3957 5276 5386 7914 8079 10552 10772 11871 15828 16158 21544 23742 24237 31656 32316 47484 48474 61993 64632 94968 96948 123986 126571 185979 193896 247972 253142 371958 379713 495944 506284 557937 743916 759426 1012568 1115874 1139139 1487832 1518852 2231748 2278278 3037704 3552067 4463496 4556556 7104134 9113112 10656201 14208268 21312402 28416536 31968603 42624804 63937206 85249608 127874412 166947149 255748824 333894298 500841447 667788596 1001682894 1335577192 1502524341 2003365788 3005048682 4006731576 6010097364 12020194728