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12012202201000 = 2353291912168659
BaseRepresentation
bin1010111011001100111100…
…0010111000111110101000
31120112100121000200010202211
42232303033002320332220
53033301442230413000
641314155101334504
72346565366011361
oct256631702707650
946470530603684
1012012202201000
113911389a92041
121420066267434
136919906cc471
142d75723d2b68
1515c6e92d27ba
hexaeccf0b8fa8

12012202201000 has 128 divisors (see below), whose sum is σ = 29230066944000. Its totient is φ = 4614904224000.

The previous prime is 12012202200941. The next prime is 12012202201001. The reversal of 12012202201000 is 10220221021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12012202201001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4454671 + ... + 6623329.

It is an arithmetic number, because the mean of its divisors is an integer number (228359898000).

Almost surely, 212012202201000 is an apocalyptic number.

12012202201000 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 12012202201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14615033472000).

12012202201000 is an abundant number, since it is smaller than the sum of its proper divisors (17217864743000).

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

12012202201000 is a wasteful number, since it uses less digits than its factorization.

12012202201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168900 (or 2168886 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12012202201000 its reverse (10220221021), we get a palindrome (12022422422021).

The spelling of 12012202201000 in words is "twelve trillion, twelve billion, two hundred two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 191 200 232 250 290 382 500 580 725 764 955 1000 1160 1450 1528 1910 2900 3625 3820 4775 5539 5800 7250 7640 9550 11078 14500 19100 22156 23875 27695 29000 38200 44312 47750 55390 95500 110780 138475 191000 221560 276950 553900 692375 1107800 1384750 2168659 2769500 4337318 5539000 8674636 10843295 17349272 21686590 43373180 54216475 62891111 86746360 108432950 125782222 216865900 251564444 271082375 314455555 414213869 433731800 503128888 542164750 628911110 828427738 1084329500 1257822220 1572277775 1656855476 2071069345 2168659000 2515644440 3144555550 3313710952 4142138690 6289111100 7861388875 8284277380 10355346725 12012202201 12578222200 15722777750 16568554760 20710693450 24024404402 31445555500 41421386900 48048808804 51776733625 60061011005 62891111000 82842773800 96097617608 103553467250 120122022010 207106934500 240244044020 300305055025 414213869000 480488088040 600610110050 1201220220100 1501525275125 2402440440200 3003050550250 6006101100500 12012202201000