Search a number
-
+
1201210120 = 2351118115083
BaseRepresentation
bin100011110011001…
…0000001100001000
310002201021210111201
41013212100030020
54430002210440
6315110033544
741524055215
oct10746201410
93081253451
101201210120
11567062a40
122963488b4
13161b29226
14b5766b0c
15706c919a
hex47990308

1201210120 has 64 divisors (see below), whose sum is σ = 2964911040. Its totient is φ = 434361600.

The previous prime is 1201210097. The next prime is 1201210139. The reversal of 1201210120 is 210121021.

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 = 1201210097 and 1201210106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72099 + ... + 87181.

It is an arithmetic number, because the mean of its divisors is an integer number (46326735).

Almost surely, 21201210120 is an apocalyptic number.

1201210120 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 1201210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482455520).

1201210120 is an abundant number, since it is smaller than the sum of its proper divisors (1763700920).

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

1201210120 is a wasteful number, since it uses less digits than its factorization.

1201210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15286 (or 15282 counting only the distinct ones).

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

The square root of 1201210120 is about 34658.4783278205. The cubic root of 1201210120 is about 1063.0156559511.

Adding to 1201210120 its reverse (210121021), we get a palindrome (1411331141).

The spelling of 1201210120 in words is "one billion, two hundred one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 181 220 362 440 724 905 1448 1810 1991 3620 3982 7240 7964 9955 15083 15928 19910 30166 39820 60332 75415 79640 120664 150830 165913 301660 331826 603320 663652 829565 1327304 1659130 2730023 3318260 5460046 6636520 10920092 13650115 21840184 27300230 30030253 54600460 60060506 109200920 120121012 150151265 240242024 300302530 600605060 1201210120