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1201392972 = 223513313067
BaseRepresentation
bin100011110011011…
…1100110101001100
310002201122002100000
41013212330311030
54430024033342
6315114004300
741525446263
oct10746746514
93081562300
101201392972
1156717835a
12296416690
13161b91520
14b57b35da
157071344c
hex479bcd4c

1201392972 has 144 divisors (see below), whose sum is σ = 3502134272. Its totient is φ = 357618240.

The previous prime is 1201392961. The next prime is 1201392989. The reversal of 1201392972 is 2792931021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 390183 + ... + 393249.

Almost surely, 21201392972 is an apocalyptic number.

1201392972 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 1201392972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751067136).

1201392972 is an abundant number, since it is smaller than the sum of its proper divisors (2300741300).

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

1201392972 is a wasteful number, since it uses less digits than its factorization.

1201392972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1201392972 is about 34661.1161389820. The cubic root of 1201392972 is about 1063.0695917485.

The spelling of 1201392972 in words is "one billion, two hundred one million, three hundred ninety-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 81 93 108 117 124 156 162 186 234 243 279 324 351 372 403 468 486 558 702 806 837 972 1053 1116 1209 1404 1612 1674 2106 2418 2511 3067 3159 3348 3627 4212 4836 5022 6134 6318 7254 7533 9201 10044 10881 12268 12636 14508 15066 18402 21762 27603 30132 32643 36804 39871 43524 55206 65286 79742 82809 95077 97929 110412 119613 130572 159484 165618 190154 195858 239226 248427 285231 331236 358839 380308 391716 478452 496854 570462 717678 745281 855693 993708 1076517 1140924 1236001 1435356 1490562 1711386 2153034 2472002 2567079 2981124 3229551 3422772 3708003 4306068 4944004 5134158 6459102 7416006 7701237 9688653 10268316 11124009 12918204 14832012 15402474 19377306 22248018 23103711 30804948 33372027 38754612 44496036 46207422 66744054 92414844 100116081 133488108 200232162 300348243 400464324 600696486 1201392972