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1201122624 = 263131728307
BaseRepresentation
bin100011110010111…
…1010110101000000
310002201010100111010
41013211322311000
54424441410444
6315104120520
741523242142
oct10745726500
93081110433
101201122624
11567003229
12296306140
13161ac8460
14b5742c92
15706ad2b9
hex4797ad40

1201122624 has 112 divisors (see below), whose sum is σ = 3623876928. Its totient is φ = 347824128.

The previous prime is 1201122613. The next prime is 1201122679. The reversal of 1201122624 is 4262211021.

It is a self number, because there is not a number n which added to its sum of digits gives 1201122624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28279 + ... + 56585.

It is an arithmetic number, because the mean of its divisors is an integer number (32356044).

Almost surely, 21201122624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201122624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811938464).

1201122624 is an abundant number, since it is smaller than the sum of its proper divisors (2422754304).

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

1201122624 is a wasteful number, since it uses less digits than its factorization.

1201122624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28352 (or 28342 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1201122624 is about 34657.2160451471. The cubic root of 1201122624 is about 1062.9898453471.

Adding to 1201122624 its reverse (4262211021), we get a palindrome (5463333645).

The spelling of 1201122624 in words is "one billion, two hundred one million, one hundred twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1768 2496 2652 3264 3536 5304 7072 10608 14144 21216 28307 42432 56614 84921 113228 169842 226456 339684 367991 452912 481219 679368 735982 905824 962438 1103973 1358736 1443657 1471964 1811648 1924876 2207946 2717472 2887314 2943928 3849752 4415892 5434944 5774628 5887856 6255847 7699504 8831784 11549256 11775712 12511694 15399008 17663568 18767541 23098512 23551424 25023388 30798016 35327136 37535082 46197024 50046776 70654272 75070164 92394048 100093552 150140328 200187104 300280656 400374208 600561312 1201122624