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2001221120 = 29531151167
BaseRepresentation
bin111011101001000…
…0011011000000000
312011110122120021202
41313102003120000
513044303033440
6530325040332
7100410045623
oct16722033000
95143576252
102001221120
11937701058
1247a2560a8
1325b7b4112
1414dad5dba
15baa54615
hex77483600

2001221120 has 160 divisors (see below), whose sum is σ = 5015678976. Its totient is φ = 764928000.

The previous prime is 2001221119. The next prime is 2001221141. The reversal of 2001221120 is 211221002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×20012211202 = 8009771942268108800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11983277 + ... + 11983443.

Almost surely, 22001221120 is an apocalyptic number.

2001221120 is a gapful number since it is divisible by the number (20) 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 2001221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507839488).

2001221120 is an abundant number, since it is smaller than the sum of its proper divisors (3014457856).

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

2001221120 is a wasteful number, since it uses less digits than its factorization.

2001221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2001221120 is about 44735.0100033520. The cubic root of 2001221120 is about 1260.1774168582.

Adding to 2001221120 its reverse (211221002), we get a palindrome (2212442122).

The spelling of 2001221120 in words is "two billion, one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 151 155 160 167 248 256 302 310 320 334 496 512 604 620 640 668 755 835 992 1208 1240 1280 1336 1510 1670 1984 2416 2480 2560 2672 3020 3340 3968 4681 4832 4960 5177 5344 6040 6680 7936 9362 9664 9920 10354 10688 12080 13360 15872 18724 19328 19840 20708 21376 23405 24160 25217 25885 26720 37448 38656 39680 41416 42752 46810 48320 50434 51770 53440 74896 77312 79360 82832 85504 93620 96640 100868 103540 106880 126085 149792 165664 187240 193280 201736 207080 213760 252170 299584 331328 374480 386560 403472 414160 427520 504340 599168 662656 748960 781727 806944 828320 1008680 1198336 1325312 1497920 1563454 1613888 1656640 2017360 2396672 2650624 2995840 3126908 3227776 3313280 3908635 4034720 5991680 6253816 6455552 6626560 7817270 8069440 11983360 12507632 12911104 13253120 15634540 16138880 25015264 31269080 32277760 50030528 62538160 64555520 100061056 125076320 200122112 250152640 400244224 500305280 1000610560 2001221120