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121201010112200 = 23522113700377617
BaseRepresentation
bin11011100011101101001111…
…001001110111011011001000
3120220010200222210012011100212
4123203231033021313123020
5111341224132042042300
61105434550403420252
734346325005535554
oct3343551711673310
9526120883164325
10121201010112200
1135689072560577
1211715699084688
13528228b0824b5
1421d02357b8864
15e02ab2d6d935
hex6e3b4f2776c8

121201010112200 has 96 divisors (see below), whose sum is σ = 283139156609760. Its totient is φ = 48248713497600.

The previous prime is 121201010112197. The next prime is 121201010112311. The reversal of 121201010112200 is 2211010102121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1561487792 + ... + 1561565408.

It is an arithmetic number, because the mean of its divisors is an integer number (2949366214685).

Almost surely, 2121201010112200 is an apocalyptic number.

121201010112200 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 121201010112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141569578304880).

121201010112200 is an abundant number, since it is smaller than the sum of its proper divisors (161938146497560).

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

121201010112200 is a wasteful number, since it uses less digits than its factorization.

121201010112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114847 (or 114838 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121201010112200 its reverse (2211010102121), we get a palindrome (123412020214321).

The spelling of 121201010112200 in words is "one hundred twenty-one trillion, two hundred one billion, ten million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 422 844 1055 1688 2110 4220 5275 8440 10550 21100 37003 42200 74006 77617 148012 155234 185015 296024 310468 370030 388085 620936 740060 776170 925075 1480120 1552340 1850150 1940425 3104680 3700300 3880850 7400600 7761700 7807633 15523400 15615266 16377187 31230532 32754374 39038165 62461064 65508748 78076330 81885935 131017496 156152660 163771870 195190825 312305320 327543740 390381650 409429675 655087480 780763300 818859350 1561526600 1637718700 2872061851 3275437400 5744123702 11488247404 14360309255 22976494808 28720618510 57441237020 71801546275 114882474040 143603092550 287206185100 574412370200 606005050561 1212010101122 2424020202244 3030025252805 4848040404488 6060050505610 12120101011220 15150126264025 24240202022440 30300252528050 60600505056100 121201010112200