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1201222152 = 2332136831879
BaseRepresentation
bin100011110011001…
…0011001000001000
310002201022102000100
41013212103020020
54430003102102
6315110205400
741524135254
oct10746231010
93081272010
101201222152
11567070a89
12296353860
13161b31850
14b576b264
15706cca1c
hex47993208

1201222152 has 96 divisors (see below), whose sum is σ = 3510561600. Its totient is φ = 368869248.

The previous prime is 1201222129. The next prime is 1201222177. The reversal of 1201222152 is 2512221021.

It is a super-2 number, since 2×12012221522 = 2885869316911022208, which contains 22 as substring.

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

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, 638349 + ... + 640227.

It is an arithmetic number, because the mean of its divisors is an integer number (36568350).

Almost surely, 21201222152 is an apocalyptic number.

1201222152 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 1201222152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755280800).

1201222152 is an abundant number, since it is smaller than the sum of its proper divisors (2309339448).

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

1201222152 is a wasteful number, since it uses less digits than its factorization.

1201222152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1201222152 is about 34658.6519068472. The cubic root of 1201222152 is about 1063.0192051946.

Adding to 1201222152 its reverse (2512221021), we get a palindrome (3713443173).

The spelling of 1201222152 in words is "one billion, two hundred one million, two hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 683 936 1366 1879 2049 2732 3758 4098 5464 5637 6147 7516 8196 8879 11274 12294 15032 16392 16911 17758 22548 24427 24588 26637 33822 35516 45096 48854 49176 53274 67644 71032 73281 79911 97708 106548 135288 146562 159822 195416 213096 219843 293124 319644 439686 586248 639288 879372 1283357 1758744 2566714 3850071 5133428 7700142 10266856 11550213 15400284 16683641 23100426 30800568 33367282 46200852 50050923 66734564 92401704 100101846 133469128 150152769 200203692 300305538 400407384 600611076 1201222152