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120020122002 = 23112323898837
BaseRepresentation
bin110111111000111000…
…0011011100110010010
3102110210102000220200210
41233301300123212102
53431300122401002
6131045251424550
711446132130064
oct1576160334622
9373712026623
10120020122002
114699a259080
121b3165b5156
13b419411191
145b47ca3734
1531c6b2c96c
hex1bf1c1b992

120020122002 has 96 divisors (see below), whose sum is σ = 274477170240. Its totient is φ = 34695084160.

The previous prime is 120020121973. The next prime is 120020122007. The reversal of 120020122002 is 200221020021.

It is not an unprimeable number, because it can be changed into a prime (120020122007) 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, 13577128 + ... + 13585964.

It is an arithmetic number, because the mean of its divisors is an integer number (2859137190).

Almost surely, 2120020122002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120020122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137238585120).

120020122002 is an abundant number, since it is smaller than the sum of its proper divisors (154457048238).

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

120020122002 is a wasteful number, since it uses less digits than its factorization.

120020122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9288 (or 9265 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120020122002 its reverse (200221020021), we get a palindrome (320241142023).

The spelling of 120020122002 in words is "one hundred twenty billion, twenty million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 389 506 529 759 778 1058 1167 1518 1587 2334 3174 4279 5819 8558 8837 8947 11638 12837 17457 17674 17894 25674 26511 26841 34914 53022 53682 97207 98417 194414 196834 203251 205781 291621 295251 406502 411562 583242 590502 609753 617343 1219506 1234686 2235761 2263591 3437593 4471522 4527182 4674773 6707283 6790773 6875186 9349546 10312779 13414566 13581546 14024319 20625558 28048638 37813523 51422503 75627046 79064639 102845006 113440569 154267509 158129278 226881138 237193917 308535018 474387834 869711029 1739422058 1818486697 2609133087 3636973394 5218266174 5455460091 10910920182 20003353667 40006707334 60010061001 120020122002