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1222124020 = 2251361251307
BaseRepresentation
bin100100011011000…
…0010000111110100
310011011122022222121
41020312002013310
510000330432040
6321134205324
742166611535
oct11066020764
93134568877
101222124020
11577947957
122a1353844
1316626c610
14b844c68c
157245ac4a
hex48d821f4

1222124020 has 96 divisors (see below), whose sum is σ = 2829568896. Its totient is φ = 440640000.

The previous prime is 1222124011. The next prime is 1222124039. The reversal of 1222124020 is 204212221.

It is a junction number, because it is equal to n+sod(n) for n = 1222123985 and 1222124003.

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, 3980707 + ... + 3981013.

It is an arithmetic number, because the mean of its divisors is an integer number (29474676).

Almost surely, 21222124020 is an apocalyptic number.

1222124020 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 1222124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414784448).

1222124020 is an abundant number, since it is smaller than the sum of its proper divisors (1607444876).

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

1222124020 is a wasteful number, since it uses less digits than its factorization.

1222124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1222124020 is about 34958.8904286163. The cubic root of 1222124020 is about 1069.1494740499.

Adding to 1222124020 its reverse (204212221), we get a palindrome (1426336241).

The spelling of 1222124020 in words is "one billion, two hundred twenty-two million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 251 260 305 307 502 610 614 793 1004 1220 1228 1255 1535 1586 2510 3070 3172 3263 3965 3991 5020 6140 6526 7930 7982 13052 15311 15860 15964 16315 18727 19955 30622 32630 37454 39910 61244 65260 74908 76555 77057 79820 93635 153110 154114 187270 199043 243451 306220 308228 374540 385285 398086 486902 770570 796172 973804 995215 1001741 1217255 1541140 1990430 2003482 2434510 3980860 4006964 4700477 4869020 5008705 9400954 10017410 18801908 20034820 23502385 47004770 61106201 94009540 122212402 244424804 305531005 611062010 1222124020