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1221233111120 = 245114967279397
BaseRepresentation
bin10001110001010111001…
…010100111000001010000
311022202012211112220200102
4101301113022213001100
5130002041134023440
62333005435511532
7154142203112051
oct21612712470120
94282184486612
101221233111120
11430a16287810
121788245b85a8
138b2145aab99
14431724bc728
1521b78d32b15
hex11c572a7050

1221233111120 has 80 divisors (see below), whose sum is σ = 3098125957248. Its totient is φ = 443993771520.

The previous prime is 1221233111107. The next prime is 1221233111129. The reversal of 1221233111120 is 211113321221.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 1221233111092 and 1221233111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221233111129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4231262 + ... + 4510658.

Almost surely, 21221233111120 is an apocalyptic number.

1221233111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221233111120 is an abundant number, since it is smaller than the sum of its proper divisors (1876892846128).

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

1221233111120 is a wasteful number, since it uses less digits than its factorization.

1221233111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284388 (or 284382 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1221233111120 its reverse (211113321221), we get a palindrome (1432346432341).

The spelling of 1221233111120 in words is "one trillion, two hundred twenty-one billion, two hundred thirty-three million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 4967 9934 19868 24835 39736 49670 54637 79472 99340 109274 198680 218548 273185 279397 397360 437096 546370 558794 874192 1092740 1117588 1396985 2185480 2235176 2793970 3073367 4370960 4470352 5587940 6146734 11175880 12293468 15366835 22351760 24586936 30733670 49173872 61467340 122934680 245869360 1387764899 2775529798 5551059596 6938824495 11102119192 13877648990 15265413889 22204238384 27755297980 30530827778 55510595960 61061655556 76327069445 111021191920 122123311112 152654138890 244246622224 305308277780 610616555560 1221233111120