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122011332012 = 22325363947239
BaseRepresentation
bin111000110100001110…
…0010010110110101100
3102122221011211212022200
41301220130102312230
53444334400111022
6132015022141500
711546361132063
oct1615034226654
9378834755280
10122011332012
1147821241689
121b791421890
13b675acb65b
145c965111da
153291855bac
hex1c68712dac

122011332012 has 36 divisors (see below), whose sum is σ = 314236737360. Its totient is φ = 39903076512.

The previous prime is 122011331999. The next prime is 122011332041. The reversal of 122011332012 is 210233110221.

122011332012 is a `hidden beast` number, since 1 + 220 + 113 + 320 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31971712 + ... + 31975527.

It is an arithmetic number, because the mean of its divisors is an integer number (8728798260).

Almost surely, 2122011332012 is an apocalyptic number.

122011332012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122011332012 is an abundant number, since it is smaller than the sum of its proper divisors (192225405348).

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

122011332012 is a wasteful number, since it uses less digits than its factorization.

122011332012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63947302 (or 63947297 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122011332012 its reverse (210233110221), we get a palindrome (332244442233).

The spelling of 122011332012 in words is "one hundred twenty-two billion, eleven million, three hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 63947239 127894478 191841717 255788956 383683434 575525151 767366868 1151050302 2302100604 3389203667 6778407334 10167611001 13556814668 20335222002 30502833003 40670444004 61005666006 122011332012