Search a number
-
+
20121222132 = 2232113419927
BaseRepresentation
bin10010101111010100…
…010111101111110100
31220221021121222202100
4102233110113233310
5312202013102012
613124335342100
71311423365124
oct225724275764
956837558670
1020121222132
1185959a6000
123a96681930
131b8883bbcb
14d8c43cc84
157cb7138dc
hex4af517bf4

20121222132 has 72 divisors (see below), whose sum is σ = 55944487872. Its totient is φ = 6097325520.

The previous prime is 20121222127. The next prime is 20121222139. The reversal of 20121222132 is 23122212102.

20121222132 is a `hidden beast` number, since 201 + 212 + 221 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121222139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162048 + ... + 257879.

It is an arithmetic number, because the mean of its divisors is an integer number (777006776).

Almost surely, 220121222132 is an apocalyptic number.

20121222132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20121222132 is an abundant number, since it is smaller than the sum of its proper divisors (35823265740).

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

20121222132 is a wasteful number, since it uses less digits than its factorization.

20121222132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419970 (or 419943 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20121222132 its reverse (23122212102), we get a palindrome (43243434234).

The spelling of 20121222132 in words is "twenty billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1331 1452 2178 2662 3993 4356 5324 7986 11979 15972 23958 47916 419927 839854 1259781 1679708 2519562 3779343 4619197 5039124 7558686 9238394 13857591 15117372 18476788 27715182 41572773 50811167 55430364 83145546 101622334 152433501 166291092 203244668 304867002 457300503 558922837 609734004 914601006 1117845674 1676768511 1829202012 2235691348 3353537022 5030305533 6707074044 10060611066 20121222132