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121210122100212 = 223213963689380327
BaseRepresentation
bin11011100011110101101110…
…010001010101110111110100
3120220011120111211000010001100
4123203311232101111313310
5111341401312224201322
61105443054505130100
734350066551261355
oct3343655621256764
9526146454003040
10121210122100212
1135691a18a90a82
1211717400789930
1352830b0ab2992
1421d085ba21d2c
15e02e47cbbdac
hex6e3d6e455df4

121210122100212 has 72 divisors (see below), whose sum is σ = 308602170676800. Its totient is φ = 40111966988928.

The previous prime is 121210122100159. The next prime is 121210122100259. The reversal of 121210122100212 is 212001221012121.

121210122100212 is a `hidden beast` number, since 1 + 21 + 210 + 1 + 221 + 0 + 0 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent 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, 318509593 + ... + 318889919.

It is an arithmetic number, because the mean of its divisors is an integer number (4286141259400).

Almost surely, 2121210122100212 is an apocalyptic number.

121210122100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121210122100212 is an abundant number, since it is smaller than the sum of its proper divisors (187392048576588).

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

121210122100212 is a wasteful number, since it uses less digits than its factorization.

121210122100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444165 (or 444160 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121210122100212 its reverse (212001221012121), we get a palindrome (333211343112333).

The spelling of 121210122100212 in words is "one hundred twenty-one trillion, two hundred ten billion, one hundred twenty-two million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 139 278 417 556 834 1251 1668 2502 5004 63689 127378 191067 254756 380327 382134 573201 760654 764268 1140981 1146402 1521308 2281962 2292804 3422943 4563924 6845886 8852771 13691772 17705542 26558313 35411084 52865453 53116626 79674939 105730906 106233252 158596359 159349878 211461812 317192718 318699756 475789077 634385436 951578154 1903156308 24222646303 48445292606 72667938909 96890585212 145335877818 218003816727 290671755636 436007633454 872015266908 3366947836117 6733895672234 10100843508351 13467791344468 20201687016702 30302530525053 40403374033404 60605061050106 121210122100212