Search a number
-
+
122122010112 = 29379506517
BaseRepresentation
bin111000110111100001…
…0011111111000000000
3102200012220002220010120
41301233002133320000
54000101213310422
6132034014300240
711552203646544
oct1615702377000
9380186086116
10122122010112
1147878766793
121b8024b7680
13b692a1055b
145ca70c1a24
15329b41945c
hex1c6f09fe00

122122010112 has 40 divisors (see below), whose sum is σ = 325340671656. Its totient is φ = 40707336192.

The previous prime is 122122010107. The next prime is 122122010141. The reversal of 122122010112 is 211010221221.

It is a junction number, because it is equal to n+sod(n) for n = 122122010091 and 122122010100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39751723 + ... + 39754794.

Almost surely, 2122122010112 is an apocalyptic number.

122122010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122122010112 is an abundant number, since it is smaller than the sum of its proper divisors (203218661544).

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

122122010112 is an frugal number, since it uses more digits than its factorization.

122122010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79506538 (or 79506522 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122122010112 its reverse (211010221221), we get a palindrome (333132231333).

The spelling of 122122010112 in words is "one hundred twenty-two billion, one hundred twenty-two million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 79506517 159013034 238519551 318026068 477039102 636052136 954078204 1272104272 1908156408 2544208544 3816312816 5088417088 7632625632 10176834176 15265251264 20353668352 30530502528 40707336704 61061005056 122122010112