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122010020 = 2251117219101
BaseRepresentation
bin1110100010110…
…11100110100100
322111120202021122
413101123212210
5222213310040
620035033112
73011032226
oct721334644
9274522248
10122010020
1162964a30
1234a3b798
131c37baa2
14122c0416
15aaa11b5
hex745b9a4

122010020 has 144 divisors (see below), whose sum is σ = 315645120. Its totient is φ = 39168000.

The previous prime is 122010019. The next prime is 122010029. The reversal of 122010020 is 20010221.

It is not an unprimeable number, because it can be changed into a prime (122010029) 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, 1207970 + ... + 1208070.

It is an arithmetic number, because the mean of its divisors is an integer number (2191980).

Almost surely, 2122010020 is an apocalyptic number.

122010020 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 122010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157822560).

122010020 is an abundant number, since it is smaller than the sum of its proper divisors (193635100).

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

122010020 is a wasteful number, since it uses less digits than its factorization.

122010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

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

The square root of 122010020 is about 11045.8145919620. The cubic root of 122010020 is about 495.9811441410.

Adding to 122010020 its reverse (20010221), we get a palindrome (142020241).

The spelling of 122010020 in words is "one hundred twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 17 19 20 22 34 38 44 55 68 76 85 95 101 110 170 187 190 202 209 220 289 323 340 374 380 404 418 505 578 646 748 836 935 1010 1045 1111 1156 1292 1445 1615 1717 1870 1919 2020 2090 2222 2890 3179 3230 3434 3553 3740 3838 4180 4444 5491 5555 5780 6358 6460 6868 7106 7676 8585 9595 10982 11110 12716 14212 15895 17170 17765 18887 19190 21109 21964 22220 27455 29189 31790 32623 34340 35530 37774 38380 42218 54910 58378 60401 63580 65246 71060 75548 84436 94435 105545 109820 116756 120802 130492 145945 163115 188870 211090 241604 291890 302005 321079 326230 358853 377740 422180 554591 583780 604010 642158 652460 717706 1109182 1208020 1284316 1435412 1605395 1794265 2218364 2772955 3210790 3588530 5545910 6100501 6421580 7177060 11091820 12201002 24402004 30502505 61005010 122010020