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122441143044 = 2231115723325357
BaseRepresentation
bin111001000001000001…
…1111001001100000100
3102201001010121112012210
41302002003321030010
54001224413034134
6132125414343420
711563130354343
oct1620203711404
9381033545183
10122441143044
1147a21919010
121b89135ab70
13b713b79bcc
145cd7635b5a
1532b94572e9
hex1c820f9304

122441143044 has 96 divisors (see below), whose sum is σ = 315012087936. Its totient is φ = 36707374080.

The previous prime is 122441143037. The next prime is 122441143067. The reversal of 122441143044 is 440341144221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4816014 + ... + 4841370.

It is an arithmetic number, because the mean of its divisors is an integer number (3281375916).

Almost surely, 2122441143044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122441143044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157506043968).

122441143044 is an abundant number, since it is smaller than the sum of its proper divisors (192570944892).

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

122441143044 is a wasteful number, since it uses less digits than its factorization.

122441143044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25765 (or 25763 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 122441143044 its reverse (440341144221), we get a palindrome (562782287265).

The spelling of 122441143044 in words is "one hundred twenty-two billion, four hundred forty-one million, one hundred forty-three thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 157 233 314 466 471 628 699 932 942 1398 1727 1884 2563 2796 3454 5126 5181 6908 7689 10252 10362 15378 20724 25357 30756 36581 50714 73162 76071 101428 109743 146324 152142 219486 278927 304284 402391 438972 557854 804782 836781 1115708 1207173 1609564 1673562 2414346 3347124 3981049 4828692 5908181 7962098 11816362 11943147 15924196 17724543 23632724 23886294 35449086 43791539 47772588 64989991 70898172 87583078 129979982 131374617 175166156 194969973 259959964 262749234 389939946 525498468 779879892 927584417 1855168834 2782753251 3710337668 5565506502 10203428587 11131013004 20406857174 30610285761 40813714348 61220571522 122441143044