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121202100200 = 23527928127299
BaseRepresentation
bin111000011100000110…
…1010100011111101000
3102120211210010121222002
41300320031110133220
53441210214201300
6131402433350132
711520333565466
oct1607015243750
9376753117862
10121202100200
1147446475865
121b5a6408348
13b57726576c
145c1ac61836
1532457a85d5
hex1c383547e8

121202100200 has 96 divisors (see below), whose sum is σ = 286387920000. Its totient is φ = 47695065600.

The previous prime is 121202100179. The next prime is 121202100209. The reversal of 121202100200 is 2001202121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (121202100209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4426151 + ... + 4453449.

It is an arithmetic number, because the mean of its divisors is an integer number (2983207500).

Almost surely, 2121202100200 is an apocalyptic number.

121202100200 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 121202100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143193960000).

121202100200 is an abundant number, since it is smaller than the sum of its proper divisors (165185819800).

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

121202100200 is a wasteful number, since it uses less digits than its factorization.

121202100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27675 (or 27666 counting only the distinct ones).

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

Adding to 121202100200 its reverse (2001202121), we get a palindrome (123203302321).

The spelling of 121202100200 in words is "one hundred twenty-one billion, two hundred two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 281 316 395 562 632 790 1124 1405 1580 1975 2248 2810 3160 3950 5620 7025 7900 11240 14050 15800 22199 27299 28100 44398 54598 56200 88796 109196 110995 136495 177592 218392 221990 272990 443980 545980 554975 682475 887960 1091960 1109950 1364950 2156621 2219900 2729900 4313242 4439800 5459800 7671019 8626484 10783105 15342038 17252968 21566210 30684076 38355095 43132420 53915525 61368152 76710190 86264840 107831050 153420380 191775475 215662100 306840760 383550950 431324200 606010501 767101900 1212021002 1534203800 2424042004 3030052505 4848084008 6060105010 12120210020 15150262525 24240420040 30300525050 60601050100 121202100200