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122441472 = 2832192797
BaseRepresentation
bin1110100110001…
…00111100000000
322112101200010100
413103010330000
5222321111342
620052202400
73014510136
oct723047400
9275350110
10122441472
116312a0aa
1235009400
131c4a029a
1412393756
15ab38e4c
hex74c4f00

122441472 has 108 divisors (see below), whose sum is σ = 371742280. Its totient is φ = 38651904.

The previous prime is 122441471. The next prime is 122441507. The reversal of 122441472 is 274144221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122441471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42378 + ... + 45174.

Almost surely, 2122441472 is an apocalyptic number.

122441472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185871140).

122441472 is an abundant number, since it is smaller than the sum of its proper divisors (249300808).

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

122441472 is a wasteful number, since it uses less digits than its factorization.

122441472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2821 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 122441472 is about 11065.3274691714. The cubic root of 122441472 is about 496.5650861028.

Adding to 122441472 its reverse (274144221), we get a palindrome (396585693).

The spelling of 122441472 in words is "one hundred twenty-two million, four hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 2797 3648 4864 5472 5594 7296 8391 10944 11188 14592 16782 21888 22376 25173 33564 43776 44752 50346 53143 67128 89504 100692 106286 134256 159429 179008 201384 212572 268512 318858 358016 402768 425144 478287 537024 637716 716032 805536 850288 956574 1074048 1275432 1611072 1700576 1913148 2148096 2550864 3222144 3401152 3826296 5101728 6444288 6802304 7652592 10203456 13604608 15305184 20406912 30610368 40813824 61220736 122441472