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121022012102200 = 23521125501909091
BaseRepresentation
bin11011100001000110100010…
…000010101001011000111000
3120212111120222002212002222221
4123201012202002221120320
5111330311040044232300
61105220424515053424
734330360164545236
oct3341064202513070
9525446862762887
10121022012102200
113561a168881300
12116a6a62ba1274
13526b432bc3b51
1421c56d4ac7956
15ded0d85db31a
hex6e11a20a9638

121022012102200 has 144 divisors (see below), whose sum is σ = 309337816659480. Its totient is φ = 43999956000000.

The previous prime is 121022012102143. The next prime is 121022012102237. The reversal of 121022012102200 is 2201210220121.

It is a happy number.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 132669655 + ... + 133578745.

Almost surely, 2121022012102200 is an apocalyptic number.

121022012102200 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 121022012102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154668908329740).

121022012102200 is an abundant number, since it is smaller than the sum of its proper divisors (188315804557280).

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

121022012102200 is a wasteful number, since it uses less digits than its factorization.

121022012102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914630 (or 914610 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121022012102200 its reverse (2201210220121), we get a palindrome (123223222322321).

The spelling of 121022012102200 in words is "one hundred twenty-one trillion, twenty-two billion, twelve million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 5501 6050 11002 12100 22004 24200 27505 44008 55010 60511 110020 121022 137525 220040 242044 275050 302555 484088 550100 605110 665621 909091 1100200 1210220 1331242 1512775 1818182 2420440 2662484 3025550 3328105 3636364 4545455 5324968 6051100 6656210 7272728 9090910 10000001 12102200 13312420 16640525 18181820 20000002 22727275 26624840 33281050 36363640 40000004 45454550 50000005 66562100 80000008 90909100 100000010 110000011 133124200 181818200 200000020 220000022 250000025 400000040 440000044 500000050 550000055 880000088 1000000100 1100000110 2000000200 2200000220 2750000275 4400000440 5000909591 5500000550 10001819182 11000001100 20003638364 22000002200 25004547955 40007276728 50009095910 55010005501 100018191820 110020011002 125022739775 200036383640 220040022004 250045479550 275050027505 440080044008 500090959100 550100055010 605110060511 1000181918200 1100200110020 1210220121022 1375250137525 2200400220040 2420440242044 2750500275050 3025550302555 4840880484088 5501000550100 6051100605110 11002001100200 12102201210220 15127751512775 24204402420440 30255503025550 60511006051100 121022012102200