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122023224020 = 225291138872099
BaseRepresentation
bin111000110100100100…
…1101010001011010100
3102122222000020001002102
41301221021222023110
53444400421132040
6132020125101232
711546564201465
oct1615111521324
9378860201072
10122023224020
1147827a24295
121b7953b7818
13b678403449
145c97d28d6c
153292904515
hex1c6926a2d4

122023224020 has 96 divisors (see below), whose sum is σ = 267859872000. Its totient is φ = 46634276864.

The previous prime is 122023224017. The next prime is 122023224047. The reversal of 122023224020 is 20422320221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122023223983 and 122023224001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58132931 + ... + 58135029.

It is an arithmetic number, because the mean of its divisors is an integer number (2790207000).

Almost surely, 2122023224020 is an apocalyptic number.

122023224020 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 122023224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133929936000).

122023224020 is an abundant number, since it is smaller than the sum of its proper divisors (145836647980).

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

122023224020 is a wasteful number, since it uses less digits than its factorization.

122023224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 122023224020 its reverse (20422320221), we get a palindrome (142445544241).

The spelling of 122023224020 in words is "one hundred twenty-two billion, twenty-three million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 113 116 145 226 290 452 565 580 887 1130 1774 2099 2260 3277 3548 4198 4435 6554 8396 8870 10495 13108 16385 17740 20990 25723 32770 41980 51446 60871 65540 100231 102892 121742 128615 200462 237187 243484 257230 304355 400924 474374 501155 514460 608710 948748 1002310 1185935 1217420 1861813 2004620 2371870 2906699 3723626 4743740 5813398 6878423 7447252 9309065 11626796 13756846 14533495 18618130 27513692 29066990 34392115 37236260 53992577 58133980 68784230 107985154 137568460 210384869 215970308 269962885 420769738 539925770 841539476 1051924345 1079851540 2103848690 4207697380 6101161201 12202322402 24404644804 30505806005 61011612010 122023224020