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12120151164 = 22311739712967
BaseRepresentation
bin10110100100110101…
…01101010001111100
31011021200012110202120
423102122231101330
5144310224314124
65322400522540
7606230404452
oct132232552174
934250173676
1012120151164
11515a566a60
122423020450
1311b20124a4
1482d9769d2
154ae0a5d79
hex2d26ad47c

12120151164 has 96 divisors (see below), whose sum is σ = 31598762496. Its totient is φ = 3584839680.

The previous prime is 12120151157. The next prime is 12120151171. The reversal of 12120151164 is 46115102121.

It is an interprime number because it is at equal distance from previous prime (12120151157) and next prime (12120151171).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 928209 + ... + 941175.

It is an arithmetic number, because the mean of its divisors is an integer number (329153776).

Almost surely, 212120151164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120151164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15799381248).

12120151164 is an abundant number, since it is smaller than the sum of its proper divisors (19478611332).

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

12120151164 is a wasteful number, since it uses less digits than its factorization.

12120151164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13155 (or 13153 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 12120151164 its reverse (46115102121), we get a palindrome (58235253285).

The spelling of 12120151164 in words is "twelve billion, one hundred twenty million, one hundred fifty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 97 132 146 194 219 291 292 388 438 582 803 876 1067 1164 1606 2134 2409 3201 3212 4268 4818 6402 7081 9636 12804 12967 14162 21243 25934 28324 38901 42486 51868 77802 77891 84972 142637 155604 155782 233673 285274 311564 427911 467346 570548 855822 934692 946591 1257799 1711644 1893182 2515598 2839773 3773397 3786364 5031196 5679546 7546794 10412501 11359092 13835789 15093588 20825002 27671578 31237503 41507367 41650004 55343156 62475006 83014734 91819327 124950012 166029468 183638654 275457981 367277308 550915962 1010012597 1101831924 2020025194 3030037791 4040050388 6060075582 12120151164