Search a number
-
+
122212021211016 = 23311462924322769
BaseRepresentation
bin11011110010011010110100…
…000111001000111110001000
3121000201100120212221100210120
4123302122310013020332020
5112004310204412223031
61111531232200143240
734512345546224532
oct3362326407107610
9530640525840716
10122212021211016
1135a38910a04a30
1211859612767b20
13532670c660409
142227144380852
15e1e036117a96
hex6f26b41c8f88

122212021211016 has 32 divisors (see below), whose sum is σ = 333305512394400. Its totient is φ = 37033945821440.

The previous prime is 122212021210973. The next prime is 122212021211017. The reversal of 122212021211016 is 610112120212221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (122212021211017) 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 7 ways as a sum of consecutive naturals, for example, 231462161121 + ... + 231462161648.

It is an arithmetic number, because the mean of its divisors is an integer number (10415797262325).

Almost surely, 2122212021211016 is an apocalyptic number.

It is an amenable number.

122212021211016 is an abundant number, since it is smaller than the sum of its proper divisors (211093491183384).

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

122212021211016 is a wasteful number, since it uses less digits than its factorization.

122212021211016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462924322789 (or 462924322785 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 122212021211016 its reverse (610112120212221), we get a palindrome (732324141423237).

The spelling of 122212021211016 in words is "one hundred twenty-two trillion, two hundred twelve billion, twenty-one million, two hundred eleven thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 462924322769 925848645538 1388772968307 1851697291076 2777545936614 3703394582152 5092167550459 5555091873228 10184335100918 11110183746456 15276502651377 20368670201836 30553005302754 40737340403672 61106010605508 122212021211016