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120032023122 = 233112322433917
BaseRepresentation
bin110111111001001110…
…1110101001001010010
3102110211020102112222000
41233302131311021102
53431311144214442
6131050354454430
711446335235164
oct1576235651122
9373736375860
10120032023122
11469a5a47610
121b31a594416
13b41ba1a16b
145b496c0934
1531c7bcdd4c
hex1bf2775252

120032023122 has 128 divisors (see below), whose sum is σ = 303851243520. Its totient is φ = 34767501120.

The previous prime is 120032023117. The next prime is 120032023127. The reversal of 120032023122 is 221320230021.

120032023122 is a `hidden beast` number, since 1 + 200 + 320 + 23 + 122 = 666.

120032023122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120032023117) and next prime (120032023127).

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

It is a junction number, because it is equal to n+sod(n) for n = 120032023095 and 120032023104.

It is not an unprimeable number, because it can be changed into a prime (120032023127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30641908 + ... + 30645824.

It is an arithmetic number, because the mean of its divisors is an integer number (2373837840).

Almost surely, 2120032023122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120032023122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151925621760).

120032023122 is an abundant number, since it is smaller than the sum of its proper divisors (183819220398).

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

120032023122 is a wasteful number, since it uses less digits than its factorization.

120032023122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6205 (or 6199 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120032023122 its reverse (221320230021), we get a palindrome (341352253143).

The spelling of 120032023122 in words is "one hundred twenty billion, thirty-two million, twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2243 2277 3917 4486 4554 6729 6831 7834 11751 13458 13662 20187 23502 24673 35253 40374 43087 49346 51589 60561 70506 74019 86174 90091 103178 105759 121122 129261 148038 154767 180182 211518 222057 258522 270273 309534 387783 444114 464301 540546 567479 666171 775566 810819 928602 991001 1134958 1163349 1332342 1392903 1621638 1702437 1982002 2326698 2432457 2785806 2973003 3404874 4864914 5107311 5946006 8785831 8919009 10214622 15321933 17571662 17838018 26357493 26757027 30643866 52714986 53514054 79072479 96644141 158144958 193288282 202074113 237217437 289932423 404148226 474434874 579864846 606222339 869797269 1212444678 1739594538 1818667017 2222815243 2609391807 3637334034 4445630486 5218783614 5456001051 6668445729 10912002102 13336891458 20005337187 40010674374 60016011561 120032023122