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12321050442456 = 23371991171314723
BaseRepresentation
bin1011001101001011011111…
…0101011011101011011000
31121121212210012010101221110
42303102313311123223120
53103332002403124311
642112113515140320
72411111054522250
oct263226765335330
947555705111843
1012321050442456
113a20367847088
12146ba9aa446a0
136b4b40714bb2
143084b0724960
151657736928a6
hexb34b7d5bad8

12321050442456 has 128 divisors (see below), whose sum is σ = 35410226688000. Its totient is φ = 3499607928960.

The previous prime is 12321050442419. The next prime is 12321050442473. The reversal of 12321050442456 is 65424405012321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38991511 + ... + 39306233.

It is an arithmetic number, because the mean of its divisors is an integer number (276642396000).

Almost surely, 212321050442456 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 12321050442456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17705113344000).

12321050442456 is an abundant number, since it is smaller than the sum of its proper divisors (23089176245544).

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

12321050442456 is a wasteful number, since it uses less digits than its factorization.

12321050442456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316109 (or 316105 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 12321050442456 its reverse (65424405012321), we get a palindrome (77745455454777).

The spelling of 12321050442456 in words is "twelve trillion, three hundred twenty-one billion, fifty million, four hundred forty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 199 398 597 796 1171 1194 1393 1592 2342 2388 2786 3513 4179 4684 4776 5572 7026 8197 8358 9368 11144 14052 16394 16716 24591 28104 32788 33432 49182 65576 98364 196728 233029 314723 466058 629446 699087 932116 944169 1258892 1398174 1631203 1864232 1888338 2203061 2517784 2796348 3262406 3776676 4406122 4893609 5592696 6524812 6609183 7553352 8812244 9787218 13049624 13218366 17624488 19574436 26436732 39148872 52873464 62629877 125259754 187889631 250519508 368540633 375779262 438409139 501039016 737081266 751558524 876818278 1105621899 1315227417 1474162532 1503117048 1753636556 2211243798 2579784431 2630454834 2948325064 3507273112 4422487596 5159568862 5260909668 7739353293 8844975192 10319137724 10521819336 15478706586 20638275448 30957413172 61914826344 73339585967 146679171934 220018757901 293358343868 440037515802 513377101769 586716687736 880075031604 1026754203538 1540131305307 1760150063208 2053508407076 3080262610614 4107016814152 6160525221228 12321050442456