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122941248 = 2631967503
BaseRepresentation
bin1110101001111…
…10111101000000
322120100001200120
413110332331000
5222433104443
620111020240
73021661203
oct724767500
9276301616
10122941248
1163440641
123520a680
131c616901
141248393a
15abd7083
hex753ef40

122941248 has 112 divisors (see below), whose sum is σ = 348203520. Its totient is φ = 38168064.

The previous prime is 122941243. The next prime is 122941249. The reversal of 122941248 is 842149221.

122941248 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×1229412482 = 30229100919595008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122941243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244165 + ... + 244667.

It is an arithmetic number, because the mean of its divisors is an integer number (3108960).

Almost surely, 2122941248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174101760).

122941248 is an abundant number, since it is smaller than the sum of its proper divisors (225262272).

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

122941248 is a wasteful number, since it uses less digits than its factorization.

122941248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 594 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 122941248 is about 11087.8874453162. The cubic root of 122941248 is about 497.2397878301.

The spelling of 122941248 in words is "one hundred twenty-two million, nine hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 67 76 96 114 134 152 192 201 228 268 304 402 456 503 536 608 804 912 1006 1072 1216 1273 1509 1608 1824 2012 2144 2546 3018 3216 3648 3819 4024 4288 5092 6036 6432 7638 8048 9557 10184 12072 12864 15276 16096 19114 20368 24144 28671 30552 32192 33701 38228 40736 48288 57342 61104 67402 76456 81472 96576 101103 114684 122208 134804 152912 202206 229368 244416 269608 305824 404412 458736 539216 611648 640319 808824 917472 1078432 1280638 1617648 1834944 1920957 2156864 2561276 3235296 3841914 5122552 6470592 7683828 10245104 15367656 20490208 30735312 40980416 61470624 122941248