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1200212233100 = 2252194149131379
BaseRepresentation
bin10001011101110010001…
…110010100101110001100
311020201221212001200001122
4101131302032110232030
5124131013312424400
62315211521300112
7152466243440306
oct21356216245614
94221855050048
101200212233100
11423009574a51
12174738794638
138924456611a
144213a7b2976
152134865e685
hex11772394b8c

1200212233100 has 144 divisors (see below), whose sum is σ = 2814213628800. Its totient is φ = 442806336000.

The previous prime is 1200212233093. The next prime is 1200212233111. The reversal of 1200212233100 is 13322120021.

It is a super-2 number, since 2×12002122331002 (a number of 25 digits) contains 22 as substring.

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, 38233211 + ... + 38264589.

It is an arithmetic number, because the mean of its divisors is an integer number (19543150200).

Almost surely, 21200212233100 is an apocalyptic number.

1200212233100 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 1200212233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407106814400).

1200212233100 is an abundant number, since it is smaller than the sum of its proper divisors (1614001395700).

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

1200212233100 is a wasteful number, since it uses less digits than its factorization.

1200212233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31944 (or 31937 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1200212233100 its reverse (13322120021), we get a palindrome (1213534353121).

The spelling of 1200212233100 in words is "one trillion, two hundred billion, two hundred twelve million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 41 50 76 82 95 100 164 190 205 380 410 475 491 779 820 950 982 1025 1558 1900 1964 2050 2455 3116 3895 4100 4910 7790 9329 9820 12275 15580 18658 19475 20131 24550 31379 37316 38950 40262 46645 49100 62758 77900 80524 93290 100655 125516 156895 186580 201310 233225 313790 382489 402620 466450 503275 596201 627580 764978 784475 932900 1006550 1192402 1286539 1529956 1568950 1912445 2013100 2384804 2573078 2981005 3137900 3824890 5146156 5962010 6432695 7649780 9562225 11924020 12865390 14905025 15407089 19124450 24444241 25730780 29810050 30814178 32163475 38248900 48888482 59620100 61628356 64326950 77035445 97776964 122221205 128653900 154070890 244442410 292734691 308141780 385177225 488884820 585469382 611106025 631690649 770354450 1170938764 1222212050 1263381298 1463673455 1540708900 2444424100 2526762596 2927346910 3158453245 5854693820 6316906490 7318367275 12002122331 12633812980 14636734550 15792266225 24004244662 29273469100 31584532450 48008489324 60010611655 63169064900 120021223310 240042446620 300053058275 600106116550 1200212233100