Search a number
-
+
1201232120 = 2351115717389
BaseRepresentation
bin100011110011001…
…0101100011111000
310002201022220200112
41013212111203320
54430003411440
6315110323452
741524206314
oct10746254370
93081286615
101201232120
11567078520
12296359588
13161b3624a
14b5770b44
15706d0965
hex479958f8

1201232120 has 64 divisors (see below), whose sum is σ = 2967429600. Its totient is φ = 434004480.

The previous prime is 1201232111. The next prime is 1201232129. The reversal of 1201232120 is 212321021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1201232111) and next prime (1201232129).

It is a super-2 number, since 2×12012321202 = 2885917212239388800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1201232095 and 1201232104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201232129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60386 + ... + 77774.

Almost surely, 21201232120 is an apocalyptic number.

1201232120 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 1201232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483714800).

1201232120 is an abundant number, since it is smaller than the sum of its proper divisors (1766197480).

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

1201232120 is a wasteful number, since it uses less digits than its factorization.

1201232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17568 (or 17564 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1201232120 is about 34658.7957090260. The cubic root of 1201232120 is about 1063.0221455739.

Adding to 1201232120 its reverse (212321021), we get a palindrome (1413553141).

The spelling of 1201232120 in words is "one billion, two hundred one million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 220 314 440 628 785 1256 1570 1727 3140 3454 6280 6908 8635 13816 17270 17389 34540 34778 69080 69556 86945 139112 173890 191279 347780 382558 695560 765116 956395 1530232 1912790 2730073 3825580 5460146 7651160 10920292 13650365 21840584 27300730 30030803 54601460 60061606 109202920 120123212 150154015 240246424 300308030 600616060 1201232120