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1220111420 = 22511171392347
BaseRepresentation
bin100100010111001…
…0110110000111100
310011000212002012212
41020232112300330
54444322031140
6321023115552
742143530103
oct11056266074
93130762185
101220111420
115767a2850
122a0742bb8
13165a16528
14b808703a
15721ae765
hex48b96c3c

1220111420 has 96 divisors (see below), whose sum is σ = 2982147840. Its totient is φ = 414397440.

The previous prime is 1220111419. The next prime is 1220111443. The reversal of 1220111420 is 241110221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1220111395 and 1220111404.

It is a congruent number.

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, 518687 + ... + 521033.

It is an arithmetic number, because the mean of its divisors is an integer number (31064040).

Almost surely, 21220111420 is an apocalyptic number.

1220111420 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 1220111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491073920).

1220111420 is an abundant number, since it is smaller than the sum of its proper divisors (1762036420).

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

1220111420 is a wasteful number, since it uses less digits than its factorization.

1220111420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1220111420 is about 34930.0933293915. The cubic root of 1220111420 is about 1068.5622580063.

Adding to 1220111420 its reverse (241110221), we get a palindrome (1461221641).

The spelling of 1220111420 in words is "one billion, two hundred twenty million, one hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 139 170 187 220 278 340 374 556 695 748 935 1390 1529 1870 2347 2363 2780 3058 3740 4694 4726 6116 7645 9388 9452 11735 11815 15290 23470 23630 25817 25993 30580 39899 46940 47260 51634 51986 79798 103268 103972 129085 129965 159596 199495 258170 259930 326233 398990 438889 516340 519860 652466 797980 877778 1304932 1631165 1755556 2194445 3262330 3588563 4388890 5545961 6524660 7177126 8777780 11091922 14354252 17942815 22183844 27729805 35885630 55459610 61005571 71771260 110919220 122011142 244022284 305027855 610055710 1220111420