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1200201201992 = 231367179971991
BaseRepresentation
bin10001011101110001100…
…100001111100101001000
311020201221002022020020002
4101131301210033211020
5124131003001430432
62315210445022132
7152466050614532
oct21356144174510
94221832266202
101200201201992
11423003320131
12174734b54948
13892421a3140
1442139140852
15213476d0e62
hex1177190f948

1200201201992 has 128 divisors (see below), whose sum is σ = 2478441369600. Its totient is φ = 541517011200.

The previous prime is 1200201201977. The next prime is 1200201202027. The reversal of 1200201201992 is 2991021020021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1211100617 + ... + 1211101607.

It is an arithmetic number, because the mean of its divisors is an integer number (19362823200).

Almost surely, 21200201201992 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 1200201201992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239220684800).

1200201201992 is an abundant number, since it is smaller than the sum of its proper divisors (1278240167608).

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

1200201201992 is a wasteful number, since it uses less digits than its factorization.

1200201201992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 1200201201992 in words is "one trillion, two hundred billion, two hundred one million, two hundred one thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 26 52 67 104 134 179 268 358 536 716 871 971 991 1432 1742 1942 1982 2327 3484 3884 3964 4654 6968 7768 7928 9308 11993 12623 12883 18616 23986 25246 25766 47972 50492 51532 65057 66397 95944 100984 103064 130114 132794 155909 173809 177389 260228 265588 311818 347618 354778 520456 531176 623636 695236 709556 845741 863161 962261 1247272 1390472 1419112 1691482 1726322 1924522 2259517 2306057 3382964 3452644 3849044 4519034 4612114 6765928 6905288 7698088 9038068 9224228 11645203 11885063 12509393 18076136 18448456 23290406 23770126 25018786 46580812 47540252 50037572 64471487 93161624 95080504 100075144 128942974 151387639 154505819 172244719 257885948 302775278 309011638 344489438 515771896 605550556 618023276 688978876 838129331 1211101112 1236046552 1377957752 1676258662 2239181347 3352517324 4478362694 6705034648 8956725388 11540396173 17913450776 23080792346 46161584692 92323169384 150025150249 300050300498 600100600996 1200201201992