Search a number
-
+
12122102021200 = 245242297166057
BaseRepresentation
bin1011000001100110010110…
…0101011011110001010000
31120220212021010120110021221
42300121211211123301100
53042102031104134300
641440452232054424
72360535663040423
oct260314545336120
946825233513257
1012122102021200
113953a55628626
121439417534414
1369c156221a82
142dc9da1799ba
151604cc6dc31a
hexb066595bc50

12122102021200 has 60 divisors (see below), whose sum is σ = 29130240751740. Its totient is φ = 4847693562880.

The previous prime is 12122102021189. The next prime is 12122102021231. The reversal of 12122102021200 is 212020122121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 217476726336 + 11904625294864 = 466344^2 + 3450308^2 .

It is a super-2 number, since 2×121221020212002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 1891429 + ... + 5274628.

It is an arithmetic number, because the mean of its divisors is an integer number (485504012529).

Almost surely, 212122102021200 is an apocalyptic number.

12122102021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122102021200 is an abundant number, since it is smaller than the sum of its proper divisors (17008138730540).

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

12122102021200 is a wasteful number, since it uses less digits than its factorization.

12122102021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7170304 (or 7170293 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12122102021200 its reverse (212020122121), we get a palindrome (12334122143321).

The spelling of 12122102021200 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 4229 8458 16916 21145 33832 42290 67664 84580 105725 169160 211450 338320 422900 845800 1691600 7166057 14332114 28664228 35830285 57328456 71660570 114656912 143321140 179151425 286642280 358302850 573284560 716605700 1433211400 2866422800 30305255053 60610510106 121221020212 151526275265 242442040424 303052550530 484884080848 606105101060 757631376325 1212210202120 1515262752650 2424420404240 3030525505300 6061051010600 12122102021200