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12233013110120 = 23511291735541619
BaseRepresentation
bin1011001000000011100001…
…1001101010010101101000
31121022110112201100112201002
42302000320121222111220
53100411202324010440
642003434005414132
72401543316532665
oct262007031522550
947273481315632
1012233013110120
113996a9aa94290
121456a0b40a348
136a97503c873a
1430411c364a6c
1516331e7a2115
hexb203866a568

12233013110120 has 128 divisors (see below), whose sum is σ = 31241436912000. Its totient is φ = 4270149166080.

The previous prime is 12233013110099. The next prime is 12233013110141. The reversal of 12233013110120 is 2101131033221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12233013110099) and next prime (12233013110141).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12233013110092 and 12233013110101.

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, 563330 + ... + 4978289.

It is an arithmetic number, because the mean of its divisors is an integer number (244073725875).

Almost surely, 212233013110120 is an apocalyptic number.

12233013110120 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 12233013110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15620718456000).

12233013110120 is an abundant number, since it is smaller than the sum of its proper divisors (19008423801880).

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

12233013110120 is a wasteful number, since it uses less digits than its factorization.

12233013110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541843 (or 5541839 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12233013110120 its reverse (2101131033221), we get a palindrome (14334144143341).

The spelling of 12233013110120 in words is "twelve trillion, two hundred thirty-three billion, thirteen million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 173 220 232 290 319 346 440 580 638 692 865 1160 1276 1384 1595 1730 1903 2552 3190 3460 3806 5017 6380 6920 7612 9515 10034 12760 15224 19030 20068 25085 38060 40136 50170 55187 76120 100340 110374 200680 220748 275935 441496 551870 1103740 2207480 5541619 11083238 22166476 27708095 44332952 55416190 60957809 110832380 121915618 160706951 221664760 243831236 304789045 321413902 487662472 609578090 642827804 803534755 958700087 1219156180 1285655608 1607069510 1767776461 1917400174 2438312360 3214139020 3535552922 3834800348 4793500435 6428278040 7071105844 7669600696 8838882305 9587000870 10545700957 14142211688 17677764610 19174001740 21091401914 27802302523 35355529220 38348003480 42182803828 52728504785 55604605046 70711058440 84365607656 105457009570 111209210092 139011512615 210914019140 222418420184 278023025230 305825327753 421828038280 556046050460 611650655506 1112092100920 1223301311012 1529126638765 2446602622024 3058253277530 6116506555060 12233013110120