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121211201100012 = 22361178399282419
BaseRepresentation
bin11011100011110110101110…
…100101011001100011101100
3120220011200022000022222111220
4123203312232211121203230
5111341411014440200022
61105443353531543340
734350135362521362
oct3343665645314354
9526150260288456
10121211201100012
1135692422062551
1211717661bbab50
1352832234bcbba
1421d0921055632
15e02eac8a585c
hex6e3dae9598ec

121211201100012 has 48 divisors (see below), whose sum is σ = 287478775180800. Its totient is φ = 39739145348160.

The previous prime is 121211201100001. The next prime is 121211201100079. The reversal of 121211201100012 is 210001102112121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121211201099964 and 121211201100000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8416939 + ... + 17699357.

It is an arithmetic number, because the mean of its divisors is an integer number (5989141149600).

Almost surely, 2121211201100012 is an apocalyptic number.

121211201100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121211201100012 is an abundant number, since it is smaller than the sum of its proper divisors (166267574080788).

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

121211201100012 is a wasteful number, since it uses less digits than its factorization.

121211201100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9300326 (or 9300324 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121211201100012 its reverse (210001102112121), we get a palindrome (331212303212133).

The spelling of 121211201100012 in words is "one hundred twenty-one trillion, two hundred eleven billion, two hundred one million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 61 122 183 244 366 732 17839 35678 53517 71356 107034 214068 1088179 2176358 3264537 4352716 6529074 9282419 13058148 18564838 27847257 37129676 55694514 111389028 566227559 1132455118 1698682677 2264910236 3397365354 6794730708 165589072541 331178145082 496767217623 662356290164 993534435246 1987068870492 10100933425001 20201866850002 30302800275003 40403733700004 60605600550006 121211201100012