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122041332 = 223271971359
BaseRepresentation
bin1110100011000…
…11001111110100
322111122100020100
413101203033310
5222220310312
620035434100
73011222430
oct721431764
9274570210
10122041332
1162986506
1234a55930
131c39010a
14122cb9c0
15aaaa5dc
hex74633f4

122041332 has 144 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 32477760.

The previous prime is 122041331. The next prime is 122041357. The reversal of 122041332 is 233140221.

122041332 is a `hidden beast` number, since 1 + 220 + 413 + 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 (122041331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339769 + ... + 340127.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2122041332 is an apocalyptic number.

122041332 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 122041332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

122041332 is an abundant number, since it is smaller than the sum of its proper divisors (255353868).

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

122041332 is a wasteful number, since it uses less digits than its factorization.

122041332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 122041332 is about 11047.2318704733. The cubic root of 122041332 is about 496.0235691627.

Adding to 122041332 its reverse (233140221), we get a palindrome (355181553).

The spelling of 122041332 in words is "one hundred twenty-two million, forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 71 76 84 114 126 133 142 171 213 228 252 266 284 342 359 399 426 497 532 639 684 718 798 852 994 1077 1197 1278 1349 1436 1491 1596 1988 2154 2394 2513 2556 2698 2982 3231 4047 4308 4473 4788 5026 5396 5964 6462 6821 7539 8094 8946 9443 10052 12141 12924 13642 15078 16188 17892 18886 20463 22617 24282 25489 27284 28329 30156 37772 40926 45234 47747 48564 50978 56658 61389 76467 81852 84987 90468 95494 101956 113316 122778 143241 152934 169974 178423 190988 229401 245556 286482 305868 339948 356846 429723 458802 484291 535269 572964 713692 859446 917604 968582 1070538 1452873 1605807 1718892 1937164 2141076 2905746 3211614 3390037 4358619 5811492 6423228 6780074 8717238 10170111 13560148 17434476 20340222 30510333 40680444 61020666 122041332