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122056060 = 22572269463
BaseRepresentation
bin1110100011001…
…10110101111100
322111200002102211
413101212311330
5222221243220
620040030204
73011313400
oct721466574
9274602384
10122056060
1162996585
1234a62364
131c396a29
14122d3100
15aaaeb5a
hex7466d7c

122056060 has 72 divisors (see below), whose sum is σ = 299920320. Its totient is φ = 41602176.

The previous prime is 122056043. The next prime is 122056061. The reversal of 122056060 is 60650221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122056061) 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, 263389 + ... + 263851.

It is an arithmetic number, because the mean of its divisors is an integer number (4165560).

Almost surely, 2122056060 is an apocalyptic number.

122056060 is a gapful number since it is divisible by the number (10) 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 122056060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149960160).

122056060 is an abundant number, since it is smaller than the sum of its proper divisors (177864260).

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

122056060 is a wasteful number, since it uses less digits than its factorization.

122056060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 122056060 is about 11047.8984426904. The cubic root of 122056060 is about 496.0435218054.

The spelling of 122056060 in words is "one hundred twenty-two million, fifty-six thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 269 463 490 538 926 980 1076 1345 1852 1883 2315 2690 3241 3766 4630 5380 6482 7532 9260 9415 12964 13181 16205 18830 22687 26362 32410 37660 45374 52724 64820 65905 90748 113435 124547 131810 226870 249094 263620 453740 498188 622735 871829 1245470 1743658 2490940 3487316 4359145 6102803 8718290 12205606 17436580 24411212 30514015 61028030 122056060