Search a number
-
+
2112012120 = 233517600101
BaseRepresentation
bin111110111100010…
…1011111101011000
312110012010022222010
41331320223331120
513311133341440
6545323425520
7103223543511
oct17570537530
95405108863
102112012120
119941a2a69
124ab3852a0
1327873551a
141606d5a08
15c563b580
hex7de2bf58

2112012120 has 32 divisors (see below), whose sum is σ = 6336036720. Its totient is φ = 563203200.

The previous prime is 2112012103. The next prime is 2112012121. The reversal of 2112012120 is 212102112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2112012096 and 2112012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112012121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8799931 + ... + 8800170.

Almost surely, 22112012120 is an apocalyptic number.

2112012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112012120 is an abundant number, since it is smaller than the sum of its proper divisors (4224024600).

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

2112012120 is a wasteful number, since it uses less digits than its factorization.

2112012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17600115 (or 17600111 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2112012120 is about 45956.6330359394. The cubic root of 2112012120 is about 1283.0161862434.

Adding to 2112012120 its reverse (212102112), we get a palindrome (2324114232).

The spelling of 2112012120 in words is "two billion, one hundred twelve million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17600101 35200202 52800303 70400404 88000505 105600606 140800808 176001010 211201212 264001515 352002020 422402424 528003030 704004040 1056006060 2112012120