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1201320252 = 2232116774481
BaseRepresentation
bin100011110011010…
…1011000100111100
310002201111101120200
41013212223010330
54430014222002
6315112243500
741525024256
oct10746530474
93081441520
101201320252
11567128760
122963a0590
13161b673b2
14b5794cd6
15706ebb1c
hex479ab13c

1201320252 has 72 divisors (see below), whose sum is σ = 3318365232. Its totient is φ = 363417600.

The previous prime is 1201320247. The next prime is 1201320259. The reversal of 1201320252 is 2520231021.

1201320252 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201320259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265852 + ... + 270332.

It is an arithmetic number, because the mean of its divisors is an integer number (46088406).

Almost surely, 21201320252 is an apocalyptic number.

1201320252 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 1201320252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659182616).

1201320252 is an abundant number, since it is smaller than the sum of its proper divisors (2117044980).

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

1201320252 is a wasteful number, since it uses less digits than its factorization.

1201320252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5179 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1201320252 is about 34660.0671089945. The cubic root of 1201320252 is about 1063.0481422083.

Adding to 1201320252 its reverse (2520231021), we get a palindrome (3721551273).

The spelling of 1201320252 in words is "one billion, two hundred one million, three hundred twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 677 1354 2031 2708 4062 4481 6093 7447 8124 8962 12186 13443 14894 17924 22341 24372 26886 29788 40329 44682 49291 53772 67023 80658 89364 98582 134046 147873 161316 197164 268092 295746 443619 591492 887238 1774476 3033637 6067274 9100911 12134548 18201822 27302733 33370007 36403644 54605466 66740014 100110021 109210932 133480028 200220042 300330063 400440084 600660126 1201320252