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120120101001 = 32192341744917
BaseRepresentation
bin110111111011110110…
…1110100100010001001
3102111001101011101002200
41233313231310202021
53432001221213001
6131103222350413
711451455004045
oct1576755644211
9374041141080
10120120101001
1146a4073584a
121b343b8b409
13b434048254
145b5728b025
1531d07cb086
hex1bf7b74889

120120101001 has 48 divisors (see below), whose sum is σ = 195228109440. Its totient is φ = 70796816640.

The previous prime is 120120100979. The next prime is 120120101041. The reversal of 120120101001 is 100101021021.

It is a happy number.

It is not a de Polignac number, because 120120101001 - 217 = 120119969929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120120101041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211206 + ... + 533711.

It is an arithmetic number, because the mean of its divisors is an integer number (4067252280).

Almost surely, 2120120101001 is an apocalyptic number.

It is an amenable number.

120120101001 is a deficient number, since it is larger than the sum of its proper divisors (75108008439).

120120101001 is a wasteful number, since it uses less digits than its factorization.

120120101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745006 (or 745003 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120120101001 its reverse (100101021021), we get a palindrome (220221122022).

The spelling of 120120101001 in words is "one hundred twenty billion, one hundred twenty million, one hundred one thousand, one".

Divisors: 1 3 9 19 23 41 57 69 123 171 207 369 437 779 943 1311 2337 2829 3933 7011 8487 17917 53751 161253 744917 2234751 6704253 14153423 17133091 30541597 42460269 51399273 91624791 127380807 154197819 274874373 325528729 580290343 702456731 976586187 1740871029 2107370193 2929758561 5222613087 6322110579 13346677889 40040033667 120120101001