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1200020112 = 243237792851
BaseRepresentation
bin100011110000110…
…1101101010010000
310002122001100010100
41013201231222100
54424201120422
6315024332400
741511000624
oct10741555220
93078040110
101200020112
1156641a965
12295a74100
13161800695
14b5537184
15705417ac
hex4786da90

1200020112 has 120 divisors (see below), whose sum is σ = 3494042240. Its totient is φ = 384134400.

The previous prime is 1200020093. The next prime is 1200020141. The reversal of 1200020112 is 2110200021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1200020094 and 1200020103.

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, 419487 + ... + 422337.

Almost surely, 21200020112 is an apocalyptic number.

1200020112 is a gapful number since it is divisible by the number (12) 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 1200020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747021120).

1200020112 is an abundant number, since it is smaller than the sum of its proper divisors (2294022128).

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

1200020112 is a wasteful number, since it uses less digits than its factorization.

1200020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1200020112 is about 34641.3064418766. The cubic root of 1200020112 is about 1062.6645058687.

Adding to 1200020112 its reverse (2110200021), we get a palindrome (3310220133).

The spelling of 1200020112 in words is "one billion, two hundred million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 79 111 144 148 158 222 237 296 316 333 444 474 592 632 666 711 888 948 1264 1332 1422 1776 1896 2664 2844 2851 2923 3792 5328 5688 5702 5846 8553 8769 11376 11404 11692 17106 17538 22808 23384 25659 26307 34212 35076 45616 46768 51318 52614 68424 70152 102636 105228 105487 136848 140304 205272 210456 210974 225229 316461 410544 420912 421948 450458 632922 675687 843896 900916 949383 1265844 1351374 1687792 1801832 1898766 2027061 2531688 2702748 3603664 3797532 4054122 5063376 5405496 7595064 8108244 8333473 10810992 15190128 16216488 16666946 25000419 32432976 33333892 50000838 66667784 75001257 100001676 133335568 150002514 200003352 300005028 400006704 600010056 1200020112