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120211242341322 = 231112720037160057
BaseRepresentation
bin11011010101010011011100…
…011001011101001111001010
3120202122002020011111211110210
4123111103130121131033022
5111224020111014410242
61103400140553221550
734214655435360366
oct3325233431351712
9522562204454423
10120211242341322
1135337335445890
12115958b1a018b6
13520cb43933c02
1421983802a62a6
15dd6e84a88d9c
hex6d54dc65d3ca

120211242341322 has 64 divisors (see below), whose sum is σ = 264476274868224. Its totient is φ = 36122768922240.

The previous prime is 120211242341303. The next prime is 120211242341329. The reversal of 120211242341322 is 223143242112021.

It is a self number, because there is not a number n which added to its sum of digits gives 120211242341322.

It is not an unprimeable number, because it can be changed into a prime (120211242341329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13209118 + ... + 20369174.

It is an arithmetic number, because the mean of its divisors is an integer number (4132441794816).

Almost surely, 2120211242341322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120211242341322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132238137434112).

120211242341322 is an abundant number, since it is smaller than the sum of its proper divisors (144265032526902).

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

120211242341322 is a wasteful number, since it uses less digits than its factorization.

120211242341322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7162203.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 120211242341322 its reverse (223143242112021), we get a palindrome (343354484453343).

The spelling of 120211242341322 in words is "one hundred twenty trillion, two hundred eleven billion, two hundred forty-two million, three hundred forty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 127 254 381 762 1397 2003 2794 4006 4191 6009 8382 12018 22033 44066 66099 132198 254381 508762 763143 1526286 2798191 5596382 7160057 8394573 14320114 16789146 21480171 42960342 78760627 157521254 236281881 472563762 909327239 1818654478 2727981717 5455963434 10002599629 14341594171 20005199258 28683188342 30007798887 43024782513 60015597774 86049565026 157757535881 315515071762 473272607643 946545215286 1821382459717 3642764919434 5464147379151 10928294758302 20035207056887 40070414113774 60105621170661 120211242341322