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122002110012 = 223531107117327
BaseRepresentation
bin111000110011111100…
…1000111011000111100
3102122220112111100010010
41301213321013120330
53444330020010022
6132014052343220
711546216552556
oct1614771073074
9378815440103
10122002110012
1147817012aa2
121b78a314b10
13b673c1cc53
145c951d04d6
153290b3350c
hex1c67e4763c

122002110012 has 48 divisors (see below), whose sum is σ = 290085691392. Its totient is φ = 39894154560.

The previous prime is 122002109993. The next prime is 122002110031. The reversal of 122002110012 is 210011200221.

It is an interprime number because it is at equal distance from previous prime (122002109993) and next prime (122002110031).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 122002110012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7032493 + ... + 7049819.

It is an arithmetic number, because the mean of its divisors is an integer number (6043451904).

Almost surely, 2122002110012 is an apocalyptic number.

122002110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122002110012 is an abundant number, since it is smaller than the sum of its proper divisors (168083581380).

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

122002110012 is a wasteful number, since it uses less digits than its factorization.

122002110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28458 (or 28456 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122002110012 its reverse (210011200221), we get a palindrome (332013310233).

It can be divided in two parts, 12200 and 2110012, that added together give a palindrome (2122212).

The spelling of 122002110012 in words is "one hundred twenty-two billion, two million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 11071 17327 22142 33213 34654 44284 51981 66426 69308 103962 132852 207924 586763 918331 1173526 1760289 1836662 2347052 2754993 3520578 3673324 5509986 7041156 11019972 191827217 383654434 575481651 767308868 1150963302 2301926604 10166842501 20333685002 30500527503 40667370004 61001055006 122002110012