Search a number
-
+
12010010120 = 23529103100519
BaseRepresentation
bin10110010111101101…
…00011011000001000
31010222222221201122122
423023312203120020
5144044030310440
65303424110412
7603422254523
oct131366433010
933888851578
1012010010120
1151033793a9
1223b2165408
13119525ab84
1481d0a5bba
154a459b7b5
hex2cbda3608

12010010120 has 64 divisors (see below), whose sum is σ = 28226016000. Its totient is φ = 4593270528.

The previous prime is 12010010113. The next prime is 12010010137. The reversal of 12010010120 is 2101001021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 12010010098 and 12010010107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69221 + ... + 169739.

It is an arithmetic number, because the mean of its divisors is an integer number (441031500).

Almost surely, 212010010120 is an apocalyptic number.

12010010120 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 12010010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14113008000).

12010010120 is an abundant number, since it is smaller than the sum of its proper divisors (16216005880).

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

12010010120 is a wasteful number, since it uses less digits than its factorization.

12010010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100662 (or 100658 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12010010120 its reverse (2101001021), we get a palindrome (14111011141).

Subtracting from 12010010120 its reverse (2101001021), we obtain a palindrome (9909009099).

The spelling of 12010010120 in words is "twelve billion, ten million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 103 116 145 206 232 290 412 515 580 824 1030 1160 2060 2987 4120 5974 11948 14935 23896 29870 59740 100519 119480 201038 402076 502595 804152 1005190 2010380 2915051 4020760 5830102 10353457 11660204 14575255 20706914 23320408 29150510 41413828 51767285 58301020 82827656 103534570 116602040 207069140 300250253 414138280 600500506 1201001012 1501251265 2402002024 3002502530 6005005060 12010010120