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122187252 = 2231121943103
BaseRepresentation
bin1110100100001…
…10110111110100
322111220202101210
413102012313310
5222234443002
620042521420
73012401025
oct722066764
9274822353
10122187252
1162a76100
1234b06270
131c411665
1412328c4c
15aad896c
hex7486df4

122187252 has 144 divisors (see below), whose sum is σ = 340820480. Its totient is φ = 33929280.

The previous prime is 122187229. The next prime is 122187253. The reversal of 122187252 is 252781221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122187253) 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, 1186233 + ... + 1186335.

Almost surely, 2122187252 is an apocalyptic number.

122187252 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 122187252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170410240).

122187252 is an abundant number, since it is smaller than the sum of its proper divisors (218633228).

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

122187252 is a wasteful number, since it uses less digits than its factorization.

122187252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 122187252 is about 11053.8342668958. The cubic root of 122187252 is about 496.2211823537.

The spelling of 122187252 in words is "one hundred twenty-two million, one hundred eighty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 43 44 57 66 76 86 103 114 121 129 132 172 206 209 228 242 258 309 363 412 418 473 484 516 618 627 726 817 836 946 1133 1236 1254 1419 1452 1634 1892 1957 2266 2299 2451 2508 2838 3268 3399 3914 4429 4532 4598 4902 5203 5676 5871 6798 6897 7828 8858 8987 9196 9804 10406 11742 12463 13287 13596 13794 15609 17716 17974 20812 21527 23484 24926 26574 26961 27588 31218 35948 37389 43054 48719 49852 53148 53922 62436 64581 74778 84151 86108 97438 98857 107844 129162 146157 149556 168302 194876 197714 236797 252453 258324 292314 296571 336604 395428 473594 504906 535909 584628 593142 710391 925661 947188 1009812 1071818 1186284 1420782 1607727 1851322 2143636 2776983 2841564 3215454 3702644 5553966 6430908 10182271 11107932 20364542 30546813 40729084 61093626 122187252