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2122121216 = 21632381
BaseRepresentation
bin111111001111101…
…0000000000000000
312110220010221001002
41332133100000000
513321230334331
6550324231132
7103405506215
oct17637200000
95426127032
102122121216
11999978096
124b283b4a8
1327a864937
14161ba7b0c
15c64869cb
hex7e7d0000

2122121216 has 34 divisors (see below), whose sum is σ = 4244341122. Its totient is φ = 1061027840.

The previous prime is 2122121189. The next prime is 2122121227. The reversal of 2122121216 is 6121212212.

It can be written as a sum of positive squares in only one way, i.e., 1893990400 + 228130816 = 43520^2 + 15104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 49346 + ... + 81726.

Almost surely, 22122121216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122170561).

2122121216 is an abundant number, since it is smaller than the sum of its proper divisors (2122219906).

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

2122121216 is an frugal number, since it uses more digits than its factorization.

2122121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32413 (or 32383 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 2122121216 is about 46066.4869075123. The cubic root of 2122121216 is about 1285.0599710589.

Adding to 2122121216 its reverse (6121212212), we get a palindrome (8243333428).

The spelling of 2122121216 in words is "two billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32381 32768 64762 65536 129524 259048 518096 1036192 2072384 4144768 8289536 16579072 33158144 66316288 132632576 265265152 530530304 1061060608 2122121216