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12012615020 = 22574312311621
BaseRepresentation
bin10110011000000000…
…11111010101101100
31011000011212001220102
423030000133111230
5144100212140040
65304000010232
7603453354140
oct131400372554
934004761812
1012012615020
11510489850a
1223b3000978
131195960733
1481d583220
154a4913515
hex2cc01f56c

12012615020 has 96 divisors (see below), whose sum is σ = 29542926336. Its totient is φ = 4017081600.

The previous prime is 12012615019. The next prime is 12012615029. The reversal of 12012615020 is 2051621021.

It is a super-4 number, since 4×120126150204 (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12012614983 and 12012615001.

It is not an unprimeable number, because it can be changed into a prime (12012615029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7409810 + ... + 7411430.

It is an arithmetic number, because the mean of its divisors is an integer number (307738816).

Almost surely, 212012615020 is an apocalyptic number.

12012615020 is a gapful number since it is divisible by the number (10) 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 12012615020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14771463168).

12012615020 is an abundant number, since it is smaller than the sum of its proper divisors (17530311316).

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

12012615020 is a wasteful number, since it uses less digits than its factorization.

12012615020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The spelling of 12012615020 in words is "twelve billion, twelve million, six hundred fifteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1231 1505 1621 2462 3010 3242 4924 6020 6155 6484 8105 8617 11347 12310 16210 17234 22694 24620 32420 34468 43085 45388 52933 56735 69703 86170 105866 113470 139406 172340 211732 226940 264665 278812 348515 370531 487921 529330 697030 741062 975842 1058660 1394060 1482124 1852655 1951684 1995451 2439605 3705310 3990902 4879210 7410620 7981804 9758420 9977255 13968157 19954510 27936314 39909020 55872628 69840785 85804393 139681570 171608786 279363140 343217572 429021965 600630751 858043930 1201261502 1716087860 2402523004 3003153755 6006307510 12012615020