Search a number
-
+
121002001212012 = 223157450771424809
BaseRepresentation
bin11011100000110011111001…
…010011001010001001101100
3120212102200022111211120012220
4123200303321103022021230
5111324444044302241022
61105203315120155340
734326051251023434
oct3340637123121154
9525380274746186
10121002001212012
113561172a194328
12116a2bb9468b50
1352695941a541b
1421c47571a92c4
15dec81691d85c
hex6e0cf94ca26c

121002001212012 has 48 divisors (see below), whose sum is σ = 284142836836320. Its totient is φ = 40076178734592.

The previous prime is 121002001212011. The next prime is 121002001212013. The reversal of 121002001212012 is 210212100200121.

It is an interprime number because it is at equal distance from previous prime (121002001212011) and next prime (121002001212013).

It is a junction number, because it is equal to n+sod(n) for n = 121002001211982 and 121002001212000.

It is not an unprimeable number, because it can be changed into a prime (121002001212011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84212664 + ... + 85637472.

It is an arithmetic number, because the mean of its divisors is an integer number (5919642434090).

Almost surely, 2121002001212012 is an apocalyptic number.

121002001212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121002001212012 is an abundant number, since it is smaller than the sum of its proper divisors (163140835624308).

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

121002001212012 is a wasteful number, since it uses less digits than its factorization.

121002001212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470050 (or 1470048 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121002001212012 its reverse (210212100200121), we get a palindrome (331214101412133).

The spelling of 121002001212012 in words is "one hundred twenty-one trillion, two billion, one million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 157 314 471 628 942 1884 45077 90154 135231 180308 270462 540924 1424809 2849618 4274427 5699236 7077089 8548854 14154178 17097708 21231267 28308356 42462534 84925068 223695013 447390026 671085039 894780052 1342170078 2684340156 64226115293 128452230586 192678345879 256904461172 385356691758 770713383516 10083500101001 20167000202002 30250500303003 40334000404004 60501000606006 121002001212012