Search a number
-
+
122412105400 = 23521347081579
BaseRepresentation
bin111001000000001010…
…1000111111010111000
3102200222002222021001111
41302000111013322320
54001144444333100
6132122500130104
711562325504444
oct1620025077270
9380862867044
10122412105400
1147a07495662
121b883696934
13b70ab50c80
145cd3837824
1532b6b1d6ba
hex1c80547eb8

122412105400 has 48 divisors (see below), whose sum is σ = 306501085800. Its totient is φ = 45198314880.

The previous prime is 122412105379. The next prime is 122412105427. The reversal of 122412105400 is 4501214221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23538190 + ... + 23543389.

Almost surely, 2122412105400 is an apocalyptic number.

122412105400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122412105400 is an abundant number, since it is smaller than the sum of its proper divisors (184088980400).

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

122412105400 is a wasteful number, since it uses less digits than its factorization.

122412105400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47081608 (or 47081599 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 122412105400 its reverse (4501214221), we get a palindrome (126913319621).

The spelling of 122412105400 in words is "one hundred twenty-two billion, four hundred twelve million, one hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 47081579 94163158 188326316 235407895 376652632 470815790 612060527 941631580 1177039475 1224121054 1883263160 2354078950 2448242108 3060302635 4708157900 4896484216 6120605270 9416315800 12241210540 15301513175 24482421080 30603026350 61206052700 122412105400