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121222001200 = 2452679074987
BaseRepresentation
bin111000011100101100…
…1001111001000110000
3102120220011120201000011
41300321121033020300
53441230313014300
6131404424104304
711520665003056
oct1607131171060
9376804521004
10121222001200
1147456728773
121b5b1005094
13b57b412ac1
145c1d7621d6
1532473d9eba
hex1c3964f230

121222001200 has 120 divisors (see below), whose sum is σ = 295967888192. Its totient is φ = 47702856960.

The previous prime is 121222001191. The next prime is 121222001209. The reversal of 121222001200 is 2100222121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121222001191) and next prime (121222001209).

It is not an unprimeable number, because it can be changed into a prime (121222001209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24305107 + ... + 24310093.

Almost surely, 2121222001200 is an apocalyptic number.

121222001200 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 121222001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147983944096).

121222001200 is an abundant number, since it is smaller than the sum of its proper divisors (174745886992).

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

121222001200 is a wasteful number, since it uses less digits than its factorization.

121222001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979 (or 5968 counting only the distinct ones).

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

Adding to 121222001200 its reverse (2100222121), we get a palindrome (123322223321).

The spelling of 121222001200 in words is "one hundred twenty-one billion, two hundred twenty-two million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 134 200 268 335 400 536 670 907 1072 1340 1675 1814 2680 3350 3628 4535 4987 5360 6700 7256 9070 9974 13400 14512 18140 19948 22675 24935 26800 36280 39896 45350 49870 60769 72560 79792 90700 99740 121538 124675 181400 199480 243076 249350 303845 334129 362800 398960 486152 498700 607690 668258 972304 997400 1215380 1336516 1519225 1670645 1994800 2430760 2673032 3038450 3341290 4523209 4861520 5346064 6076900 6682580 8353225 9046418 12153800 13365160 16706450 18092836 22616045 24307600 26730320 33412900 36185672 45232090 66825800 72371344 90464180 113080225 133651600 180928360 226160450 303055003 361856720 452320900 606110006 904641800 1212220012 1515275015 1809283600 2424440024 3030550030 4848880048 6061100060 7576375075 12122200120 15152750150 24244400240 30305500300 60611000600 121222001200