Search a number
-
+
212101222121012 = 22741591821361781
BaseRepresentation
bin110000001110011110101010…
…000000000011111000110100
31000210222200022211222200110202
4300032132222000003320310
5210300031300330333022
62031033542320540032
762450544003215540
oct6016365200037064
91023880284880422
10212101222121012
1161644694468914
121b95677a181618
1391470a0729313
143a53a7aab0a20
15197c38d654592
hexc0e7aa003e34

212101222121012 has 24 divisors (see below), whose sum is σ = 424304440734720. Its totient is φ = 90878667374880.

The previous prime is 212101222121003. The next prime is 212101222121023. The reversal of 212101222121012 is 210121222101212.

It is a super-3 number, since 3×2121012221210123 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 910564439 + ... + 910797342.

It is an arithmetic number, because the mean of its divisors is an integer number (17679351697280).

Almost surely, 2212101222121012 is an apocalyptic number.

It is an amenable number.

212101222121012 is an abundant number, since it is smaller than the sum of its proper divisors (212203218613708).

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

212101222121012 is a wasteful number, since it uses less digits than its factorization.

212101222121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821365951 (or 1821365949 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212101222121012 its reverse (210121222101212), we get a palindrome (422222444222224).

The spelling of 212101222121012 in words is "two hundred twelve trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 14 28 4159 8318 16636 29113 58226 116452 1821361781 3642723562 7285447124 12749532467 25499064934 50998129868 7575043647179 15150087294358 30300174588716 53025305530253 106050611060506 212101222121012