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12101469552 = 243389449701
BaseRepresentation
bin10110100010100110…
…11100010101110000
31011020101001100102000
423101103130111300
5144240434011202
65320452254000
7605612536224
oct132123342560
934211040360
1012101469552
11514aa67207
122418911300
1311ab1a1193
1482b2b2784
154ac61591c
hex2d14dc570

12101469552 has 160 divisors (see below), whose sum is σ = 35254440000. Its totient is φ = 3973939200.

The previous prime is 12101469551. The next prime is 12101469553. The reversal of 12101469552 is 25596410121.

It is an interprime number because it is at equal distance from previous prime (12101469551) and next prime (12101469553).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101469551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17262802 + ... + 17263502.

It is an arithmetic number, because the mean of its divisors is an integer number (220340250).

Almost surely, 212101469552 is an apocalyptic number.

12101469552 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 12101469552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17627220000).

12101469552 is an abundant number, since it is smaller than the sum of its proper divisors (23152970448).

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

12101469552 is a wasteful number, since it uses less digits than its factorization.

12101469552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 12101469552 its reverse (25596410121), we get a palindrome (37697879673).

The spelling of 12101469552 in words is "twelve billion, one hundred one million, four hundred sixty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 178 216 267 356 432 449 534 701 712 801 898 1068 1347 1402 1424 1602 1796 2103 2136 2403 2694 2804 3204 3592 4041 4206 4272 4806 5388 5608 6309 6408 7184 8082 8412 9612 10776 11216 12123 12618 12816 16164 16824 18927 19224 21552 24246 25236 32328 33648 37854 38448 39961 48492 50472 62389 64656 75708 79922 96984 100944 119883 124778 151416 159844 187167 193968 239766 249556 302832 314749 319688 359649 374334 479532 499112 561501 629498 639376 719298 748668 944247 959064 998224 1078947 1123002 1258996 1438596 1497336 1684503 1888494 1918128 2157894 2246004 2517992 2832741 2877192 2994672 3369006 3776988 4315788 4492008 5035984 5665482 5754384 6738012 7553976 8498223 8631576 8984016 11330964 13476024 15107952 16996446 17263152 22661928 26952048 28012661 33992892 45323856 56025322 67985784 84037983 112050644 135971568 168075966 224101288 252113949 336151932 448202576 504227898 672303864 756341847 1008455796 1344607728 1512683694 2016911592 3025367388 4033823184 6050734776 12101469552