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1201012120 = 235711235449
BaseRepresentation
bin100011110010101…
…1111110110011000
310002200220201220101
41013211133312120
54424424341440
6315101505144
741522302030
oct10745376630
93080821811
101201012120
11566a38200
122962721b4
13161a8a079
14b57148c0
157068a69a
hex4795fd98

1201012120 has 96 divisors (see below), whose sum is σ = 3394692000. Its totient is φ = 374330880.

The previous prime is 1201012093. The next prime is 1201012181. The reversal of 1201012120 is 212101021.

It is a super-2 number, since 2×12010121202 = 2884860224773788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1201012097 and 1201012106.

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, 16156 + ... + 51604.

It is an arithmetic number, because the mean of its divisors is an integer number (35361375).

Almost surely, 21201012120 is an apocalyptic number.

1201012120 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 1201012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697346000).

1201012120 is an abundant number, since it is smaller than the sum of its proper divisors (2193679880).

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

1201012120 is a wasteful number, since it uses less digits than its factorization.

1201012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35489 (or 35474 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1201012120 is about 34655.6217661724. The cubic root of 1201012120 is about 1062.9572457801.

Adding to 1201012120 its reverse (212101021), we get a palindrome (1413113141).

It can be divided in two parts, 120101 and 2120, that added together give a palindrome (122221).

The spelling of 1201012120 in words is "one billion, two hundred one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 121 140 154 220 242 280 308 385 440 484 605 616 770 847 968 1210 1540 1694 2420 3080 3388 4235 4840 6776 8470 16940 33880 35449 70898 141796 177245 248143 283592 354490 389939 496286 708980 779878 992572 1240715 1417960 1559756 1949695 1985144 2481430 2729573 3119512 3899390 4289329 4962860 5459146 7798780 8578658 9925720 10918292 13647865 15597560 17157316 21446645 21836584 27295730 30025303 34314632 42893290 54591460 60050606 85786580 109182920 120101212 150126515 171573160 240202424 300253030 600506060 1201012120