Search a number
-
+
1201231120 = 245234115923
BaseRepresentation
bin100011110011001…
…0101010100010000
310002201022212022111
41013212111110100
54430003343440
6315110315104
741524203355
oct10746252420
93081285274
101201231120
115670777a1
12296358a94
13161b3595b
14b577062c
15706d04ea
hex47995510

1201231120 has 80 divisors (see below), whose sum is σ = 2985558912. Its totient is φ = 448363520.

The previous prime is 1201231117. The next prime is 1201231153. The reversal of 1201231120 is 211321021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1201231120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67479 + ... + 83401.

Almost surely, 21201231120 is an apocalyptic number.

1201231120 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 1201231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492779456).

1201231120 is an abundant number, since it is smaller than the sum of its proper divisors (1784327792).

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

1201231120 is a wasteful number, since it uses less digits than its factorization.

1201231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16000 (or 15994 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1201231120 is about 34658.7812826706. The cubic root of 1201231120 is about 1063.0218505928.

Adding to 1201231120 its reverse (211321021), we get a palindrome (1412552141).

The spelling of 1201231120 in words is "one billion, two hundred one million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 41 46 80 82 92 115 164 184 205 230 328 368 410 460 656 820 920 943 1640 1840 1886 3280 3772 4715 7544 9430 15088 15923 18860 31846 37720 63692 75440 79615 127384 159230 254768 318460 366229 636920 652843 732458 1273840 1305686 1464916 1831145 2611372 2929832 3264215 3662290 5222744 5859664 6528430 7324580 10445488 13056860 14649160 15015389 26113720 29298320 30030778 52227440 60061556 75076945 120123112 150153890 240246224 300307780 600615560 1201231120