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11872022120 = 235767738669
BaseRepresentation
bin10110000111010000…
…01010111001101000
31010122101022012200222
423003220022321220
5143303214201440
65242014345212
7600125344250
oct130350127150
933571265628
1011872022120
1150424a0a32
122373abb208
1311727a657a
14808a26960
154973e12b5
hex2c3a0ae68

11872022120 has 128 divisors (see below), whose sum is σ = 31411756800. Its totient is φ = 3954272256.

The previous prime is 11872022083. The next prime is 11872022137. The reversal of 11872022120 is 2122027811.

It is a self number, because there is not a number n which added to its sum of digits gives 11872022120.

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, 1365146 + ... + 1373814.

It is an arithmetic number, because the mean of its divisors is an integer number (245404350).

Almost surely, 211872022120 is an apocalyptic number.

11872022120 is a gapful number since it is divisible by the number (10) 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 11872022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15705878400).

11872022120 is an abundant number, since it is smaller than the sum of its proper divisors (19539734680).

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

11872022120 is a wasteful number, since it uses less digits than its factorization.

11872022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8827 (or 8823 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

Adding to 11872022120 its reverse (2122027811), we get a palindrome (13994049931).

The spelling of 11872022120 in words is "eleven billion, eight hundred seventy-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 73 134 140 146 268 280 292 335 365 469 511 536 584 670 730 938 1022 1340 1460 1876 2044 2345 2555 2680 2920 3752 4088 4690 4891 5110 8669 9380 9782 10220 17338 18760 19564 20440 24455 34237 34676 39128 43345 48910 60683 68474 69352 86690 97820 121366 136948 171185 173380 195640 242732 273896 303415 342370 346760 485464 580823 606830 632837 684740 1161646 1213660 1265674 1369480 2323292 2427320 2531348 2904115 3164185 4065761 4429859 4646584 5062696 5808230 6328370 8131522 8859718 11616460 12656740 16263044 17719436 20328805 22149295 23232920 25313480 32526088 35438872 40657610 42400079 44298590 81315220 84800158 88597180 162630440 169600316 177194360 212000395 296800553 339200632 424000790 593601106 848001580 1187202212 1484002765 1696003160 2374404424 2968005530 5936011060 11872022120