Search a number
-
+
12011010200 = 2352723336821
BaseRepresentation
bin10110010111110100…
…10111100010011000
31011000001211112111122
423023322113202120
5144044304311300
65303501344412
7603433621310
oct131372274230
934001745448
1012011010200
1151039a1812
1223b2568108
13119551b137
1481d286440
154a46e7c85
hex2cbe97898

12011010200 has 96 divisors (see below), whose sum is σ = 32052814560. Its totient is φ = 4100275200.

The previous prime is 12011010199. The next prime is 12011010257. The reversal of 12011010200 is 201011021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307790 + ... + 344610.

It is an arithmetic number, because the mean of its divisors is an integer number (333883485).

Almost surely, 212011010200 is an apocalyptic number.

12011010200 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 12011010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16026407280).

12011010200 is an abundant number, since it is smaller than the sum of its proper divisors (20041804360).

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

12011010200 is a wasteful number, since it uses less digits than its factorization.

12011010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37077 (or 37068 counting only the distinct ones).

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

Adding to 12011010200 its reverse (201011021), we get a palindrome (12212021221).

The spelling of 12011010200 in words is "twelve billion, eleven million, ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 233 280 350 466 700 932 1165 1400 1631 1864 2330 3262 4660 5825 6524 8155 9320 11650 13048 16310 23300 32620 36821 40775 46600 65240 73642 81550 147284 163100 184105 257747 294568 326200 368210 515494 736420 920525 1030988 1288735 1472840 1841050 2061976 2577470 3682100 5154940 6443675 7364200 8579293 10309880 12887350 17158586 25774700 34317172 42896465 51549400 60055051 68634344 85792930 120110102 171585860 214482325 240220204 300275255 343171720 428964650 480440408 600550510 857929300 1201101020 1501376275 1715858600 2402202040 3002752550 6005505100 12011010200