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1222111020 = 2235134793271
BaseRepresentation
bin100100011010111…
…1110111100101100
310011011121200011010
41020311332330230
510000330023040
6321134025220
742166525614
oct11065767454
93134550133
101222111020
11577939109
122a1348210
13166266720
14b8447a44
1572456e80
hex48d7ef2c

1222111020 has 96 divisors (see below), whose sum is σ = 3693957120. Its totient is φ = 300107520.

The previous prime is 1222111019. The next prime is 1222111043. The reversal of 1222111020 is 201112221.

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 = 1222110987 and 1222111005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371985 + ... + 375255.

It is an arithmetic number, because the mean of its divisors is an integer number (38478720).

Almost surely, 21222111020 is an apocalyptic number.

1222111020 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 1222111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846978560).

1222111020 is an abundant number, since it is smaller than the sum of its proper divisors (2471846100).

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

1222111020 is a wasteful number, since it uses less digits than its factorization.

1222111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1222111020 is about 34958.7044954472. The cubic root of 1222111020 is about 1069.1456831110.

Adding to 1222111020 its reverse (201112221), we get a palindrome (1423223241).

The spelling of 1222111020 in words is "one billion, two hundred twenty-two million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 479 780 958 1437 1916 2395 2874 3271 4790 5748 6227 6542 7185 9580 9813 12454 13084 14370 16355 18681 19626 24908 28740 31135 32710 37362 39252 42523 49065 62270 65420 74724 85046 93405 98130 124540 127569 170092 186810 196260 212615 255138 373620 425230 510276 637845 850460 1275690 1566809 2551380 3133618 4700427 6267236 7834045 9400854 15668090 18801708 20368517 23502135 31336180 40737034 47004270 61105551 81474068 94008540 101842585 122211102 203685170 244422204 305527755 407370340 611055510 1222111020