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122412013221012 = 223194711423293507
BaseRepresentation
bin11011110101010101000100…
…100100000111010010010100
3121001102110210200012010001220
4123311111010210013102110
5112021044300341033022
61112203145203050340
734532655542243214
oct3365250444072224
9531373720163056
10122412013221012
1136005709209119
12118903276709b0
13533c532112878
142232ab7382244
15e2433da0e85c
hex6f5544907494

122412013221012 has 48 divisors (see below), whose sum is σ = 307058129495040. Its totient is φ = 37833948091872.

The previous prime is 122412013221011. The next prime is 122412013221053. The reversal of 122412013221012 is 210122310214221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122412013221011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5711636038 + ... + 5711657469.

It is an arithmetic number, because the mean of its divisors is an integer number (6397044364480).

Almost surely, 2122412013221012 is an apocalyptic number.

122412013221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122412013221012 is an abundant number, since it is smaller than the sum of its proper divisors (184646116274028).

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

122412013221012 is a wasteful number, since it uses less digits than its factorization.

122412013221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11423293580 (or 11423293578 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 122412013221012 its reverse (210122310214221), we get a palindrome (332534323435233).

The spelling of 122412013221012 in words is "one hundred twenty-two trillion, four hundred twelve billion, thirteen million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 282 564 893 1786 2679 3572 5358 10716 11423293507 22846587014 34269880521 45693174028 68539761042 137079522084 217042576633 434085153266 536894794829 651127729899 868170306532 1073789589658 1302255459798 1610684384487 2147579179316 2604510919596 3221368768974 6442737537948 10201001101751 20402002203502 30603003305253 40804004407004 61206006610506 122412013221012