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1121011220 = 225721279007
BaseRepresentation
bin100001011010001…
…0100011000010100
32220010101021022002
41002310110120110
54243434324340
6303123054432
736531303200
oct10264243024
92803337262
101121011220
1152586635a
12273511418
1314b329464
14a8c4bb00
1568636715
hex42d14614

1121011220 has 72 divisors (see below), whose sum is σ = 2760339456. Its totient is φ = 381278016.

The previous prime is 1121011207. The next prime is 1121011273. The reversal of 1121011220 is 221101211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119957 + ... + 128963.

It is an arithmetic number, because the mean of its divisors is an integer number (38338048).

Almost surely, 21121011220 is an apocalyptic number.

1121011220 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 1121011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380169728).

1121011220 is an abundant number, since it is smaller than the sum of its proper divisors (1639328236).

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

1121011220 is a wasteful number, since it uses less digits than its factorization.

1121011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9157 (or 9148 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1121011220 is about 33481.5056411745. The cubic root of 1121011220 is about 1038.8112712285.

Adding to 1121011220 its reverse (221101211), we get a palindrome (1342112431).

The spelling of 1121011220 in words is "one billion, one hundred twenty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 127 140 196 245 254 490 508 635 889 980 1270 1778 2540 3556 4445 6223 8890 9007 12446 17780 18014 24892 31115 36028 45035 62230 63049 90070 124460 126098 180140 252196 315245 441343 630490 882686 1143889 1260980 1765372 2206715 2287778 4413430 4575556 5719445 8007223 8826860 11438890 16014446 22877780 32028892 40036115 56050561 80072230 112101122 160144460 224202244 280252805 560505610 1121011220