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120020221011132 = 2232131913497550721
BaseRepresentation
bin11011010010100001100010…
…101000111010010010111100
3120201221211011120011211110200
4123102201202220322102330
5111212402403034324012
61103132310043203500
734165113651015321
oct3322414250722274
9521854146154420
10120020221011132
1135273320927162
1211564881216590
1351c7b20837310
14218d01c846b48
15dd20049cb3dc
hex6d2862a3a4bc

120020221011132 has 72 divisors (see below), whose sum is σ = 343917592396560. Its totient is φ = 34985651466240.

The previous prime is 120020221011077. The next prime is 120020221011137. The reversal of 120020221011132 is 231110122020021.

120020221011132 is a `hidden beast` number, since 120 + 0 + 202 + 210 + 1 + 1 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020221011137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6748766469 + ... + 6748784252.

It is an arithmetic number, because the mean of its divisors is an integer number (4776633227730).

Almost surely, 2120020221011132 is an apocalyptic number.

120020221011132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120020221011132 is an abundant number, since it is smaller than the sum of its proper divisors (223897371385428).

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

120020221011132 is a wasteful number, since it uses less digits than its factorization.

120020221011132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13497550763 (or 13497550758 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120020221011132 its reverse (231110122020021), we get a palindrome (351130343031153).

The spelling of 120020221011132 in words is "one hundred twenty trillion, twenty billion, two hundred twenty-one million, eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 13497550721 26995101442 40492652163 53990202884 80985304326 121477956489 161970608652 175468159373 242955912978 256453463699 350936318746 485911825956 512906927398 526404478119 701872637492 769360391097 1025813854796 1052808956238 1538720782194 1579213434357 2105617912476 2308081173291 3077441564388 3158426868714 3333895028087 4616162346582 6316853737428 6667790056174 9232324693164 10001685084261 13335580112348 20003370168522 30005055252783 40006740337044 60010110505566 120020221011132