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122011020 = 22325672151
BaseRepresentation
bin1110100010110…
…11110110001100
322111120210122200
413101123312030
5222213323040
620035041500
73011035155
oct721336614
9274523580
10122011020
116296575a
1234a40290
131c37c391
14122c092c
15aaa1630
hex745bd8c

122011020 has 108 divisors (see below), whose sum is σ = 378194544. Its totient is φ = 31838400.

The previous prime is 122010983. The next prime is 122011031. The reversal of 122011020 is 20110221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 122010993 and 122011011.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 807945 + ... + 808095.

Almost surely, 2122011020 is an apocalyptic number.

122011020 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 122011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189097272).

122011020 is an abundant number, since it is smaller than the sum of its proper divisors (256183524).

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

122011020 is a wasteful number, since it uses less digits than its factorization.

122011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 122011020 is about 11045.8598578834. The cubic root of 122011020 is about 495.9824991657.

Adding to 122011020 its reverse (20110221), we get a palindrome (142121241).

The spelling of 122011020 in words is "one hundred twenty-two million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 151 180 201 268 302 335 402 453 603 604 670 755 804 906 1005 1206 1340 1359 1510 1812 2010 2265 2412 2718 3015 3020 4020 4489 4530 5436 6030 6795 8978 9060 10117 12060 13467 13590 17956 20234 22445 26934 27180 30351 40401 40468 44890 50585 53868 60702 67335 80802 89780 91053 101170 121404 134670 151755 161604 182106 202005 202340 269340 303510 364212 404010 455265 607020 677839 808020 910530 1355678 1821060 2033517 2711356 3389195 4067034 6100551 6778390 8134068 10167585 12201102 13556780 20335170 24402204 30502755 40670340 61005510 122011020