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121200020001200 = 24527409110580719
BaseRepresentation
bin11011100011101100010100…
…001000111001000110110000
3120220010121102210010022102002
4123203230110020321012300
5111341220120110014300
61105434304234113132
734346261323662560
oct3343542410710660
9526117383108362
10121200020001200
1135688704681518
121171546157b7a8
135282160bc84ba
1421d01800c2da0
15e02a55e925d5
hex6e3b142391b0

121200020001200 has 120 divisors (see below), whose sum is σ = 332862002373120. Its totient is φ = 41544131155200.

The previous prime is 121200020001133. The next prime is 121200020001311. The reversal of 121200020001200 is 2100020002121.

It is a happy number.

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, 6164441 + ... + 16745159.

It is an arithmetic number, because the mean of its divisors is an integer number (2773850019776).

Almost surely, 2121200020001200 is an apocalyptic number.

121200020001200 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 121200020001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166431001186560).

121200020001200 is an abundant number, since it is smaller than the sum of its proper divisors (211661982371920).

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

121200020001200 is a wasteful number, since it uses less digits than its factorization.

121200020001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10584835 (or 10584824 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 121200020001200 its reverse (2100020002121), we get a palindrome (123300040003321).

The spelling of 121200020001200 in words is "one hundred twenty-one trillion, two hundred billion, twenty million, one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 4091 8182 16364 20455 28637 32728 40910 57274 65456 81820 102275 114548 143185 163640 204550 229096 286370 327280 409100 458192 572740 715925 818200 1145480 1431850 1636400 2290960 2863700 5727400 10580719 11454800 21161438 42322876 52903595 74065033 84645752 105807190 148130066 169291504 211614380 264517975 296260132 370325165 423228760 529035950 592520264 740650330 846457520 1058071900 1185040528 1481300660 1851625825 2116143800 2962601320 3703251650 4232287600 5925202640 7406503300 14813006600 29626013200 43285721429 86571442858 173142885716 216428607145 303000050003 346285771432 432857214290 606000100006 692571542864 865714428580 1082143035725 1212000200012 1515000250015 1731428857160 2164286071450 2424000400024 3030000500030 3462857714320 4328572142900 4848000800048 6060001000060 7575001250075 8657144285800 12120002000120 15150002500150 17314288571600 24240004000240 30300005000300 60600010000600 121200020001200