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1123820812044 = 2232712747973309
BaseRepresentation
bin10000010110101000111…
…100001011011100001100
310222102210000010101202200
4100112220330023130030
5121403041111441134
62220135352121500
7144123220201110
oct20265074133414
93872700111680
101123820812044
113a3678606717
12161979396290
1381c8bc26228
143c570dbb740
151e376d99499
hex105a8f0b70c

1123820812044 has 144 divisors (see below), whose sum is σ = 3279033139200. Its totient is φ = 317893984128.

The previous prime is 1123820811973. The next prime is 1123820812129. The reversal of 1123820812044 is 4402180283211.

1123820812044 is a `hidden beast` number, since 11 + 238 + 208 + 1 + 204 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15293262 + ... + 15366570.

Almost surely, 21123820812044 is an apocalyptic number.

1123820812044 is a gapful number since it is divisible by the number (14) 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 1123820812044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639516569600).

1123820812044 is an abundant number, since it is smaller than the sum of its proper divisors (2155212327156).

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

1123820812044 is a wasteful number, since it uses less digits than its factorization.

1123820812044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73932 (or 73927 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 1123820812044 in words is "one trillion, one hundred twenty-three billion, eight hundred twenty million, eight hundred twelve thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 479 508 762 889 958 1143 1437 1524 1778 1916 2286 2667 2874 3353 3556 4311 4572 5334 5748 6706 8001 8622 10059 10668 13412 16002 17244 20118 30177 32004 40236 60354 60833 73309 120708 121666 146618 182499 219927 243332 293236 364998 425831 439854 513163 547497 659781 729996 851662 879708 1026326 1094994 1277493 1319562 1539489 1703324 2052652 2189988 2554986 2639124 3078978 3832479 4618467 5109972 6157956 7664958 9236934 9310243 15329916 18473868 18620486 27930729 35115011 37240972 55861458 65171701 70230022 83792187 105345033 111722916 130343402 140460044 167584374 195515103 210690066 245805077 260686804 316035099 335168748 391030206 421380132 491610154 586545309 632070198 737415231 782060412 983220308 1173090618 1264140396 1474830462 2212245693 2346181236 2949660924 4424491386 4459606397 8848982772 8919212794 13378819191 17838425588 26757638382 31217244779 40136457573 53515276764 62434489558 80272915146 93651734337 124868979116 160545830292 187303468674 280955203011 374606937348 561910406022 1123820812044