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102120211212 = 22340936235743
BaseRepresentation
bin101111100011011010…
…1101100001100001100
3100202120221012020020220
41133012311230030030
53133120233224322
6114525142311340
710243430321205
oct1370665541414
9322527166226
10102120211212
113a344219178
121795ba28550
139825b55ba6
144d2a88c5ac
1529ca44555c
hex17c6d6c30c

102120211212 has 48 divisors (see below), whose sum is σ = 238970618880. Its totient is φ = 33941559168.

The previous prime is 102120211201. The next prime is 102120211261. The reversal of 102120211212 is 212112021201.

It is a junction number, because it is equal to n+sod(n) for n = 102120211191 and 102120211200.

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 15 ways as a sum of consecutive naturals, for example, 17778813 + ... + 17784555.

It is an arithmetic number, because the mean of its divisors is an integer number (4978554560).

Almost surely, 2102120211212 is an apocalyptic number.

102120211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102120211212 is an abundant number, since it is smaller than the sum of its proper divisors (136850407668).

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

102120211212 is a wasteful number, since it uses less digits than its factorization.

102120211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9782 (or 9780 counting only the distinct ones).

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

Adding to 102120211212 its reverse (212112021201), we get a palindrome (314232232413).

The spelling of 102120211212 in words is "one hundred two billion, one hundred twenty million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 409 818 1227 1636 2454 3623 4908 5743 7246 10869 11486 14492 17229 21738 22972 34458 43476 68916 1481807 2348887 2963614 4445421 4697774 5927228 7046661 8890842 9395548 14093322 17781684 20806889 28186644 41613778 62420667 83227556 124841334 249682668 8510017601 17020035202 25530052803 34040070404 51060105606 102120211212