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122012220 = 223511223829
BaseRepresentation
bin1110100010111…
…00001000111100
322111120212022010
413101130020330
5222213342340
620035051220
73011041521
oct721341074
9274525263
10122012220
1162966650
1234a40b10
131c37caa5
14122c1148
15aaa1b80
hex745c23c

122012220 has 96 divisors (see below), whose sum is σ = 374814720. Its totient is φ = 29410560.

The previous prime is 122012197. The next prime is 122012257. The reversal of 122012220 is 22210221.

Adding to 122012220 its reverse (22210221), we get a palindrome (144222441).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122012196 and 122012205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146766 + ... + 147594.

It is an arithmetic number, because the mean of its divisors is an integer number (3904320).

Almost surely, 2122012220 is an apocalyptic number.

122012220 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 122012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187407360).

122012220 is an abundant number, since it is smaller than the sum of its proper divisors (252802500).

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

122012220 is a wasteful number, since it uses less digits than its factorization.

122012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 122012220 is about 11045.9141767443. The cubic root of 122012220 is about 495.9841251856.

The spelling of 122012220 in words is "one hundred twenty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 223 330 446 660 669 829 892 1115 1338 1658 2230 2453 2487 2676 3316 3345 4145 4460 4906 4974 6690 7359 8290 9119 9812 9948 12265 12435 13380 14718 16580 18238 24530 24870 27357 29436 36476 36795 45595 49060 49740 54714 73590 91190 109428 136785 147180 182380 184867 273570 369734 547140 554601 739468 924335 1109202 1848670 2033537 2218404 2773005 3697340 4067074 5546010 6100611 8134148 10167685 11092020 12201222 20335370 24402444 30503055 40670740 61006110 122012220