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122040656144 = 24112371703717
BaseRepresentation
bin111000110101000110…
…0001010000100010000
3102200000020000200110122
41301222030022010100
53444414401444034
6132021550445412
711550165314141
oct1615214120420
9380006020418
10122040656144
1147836850300
121b79b203868
13b67bbc7b04
145c9a385ac8
1532941e962e
hex1c6a30a110

122040656144 has 60 divisors (see below), whose sum is σ = 266928313932. Its totient is φ = 53973722880.

The previous prime is 122040655963. The next prime is 122040656147. The reversal of 122040656144 is 441656040221.

It can be written as a sum of positive squares in 2 ways, for example, as 93567468544 + 28473187600 = 305888^2 + 168740^2 .

It is not an unprimeable number, because it can be changed into a prime (122040656147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 780227 + ... + 923490.

Almost surely, 2122040656144 is an apocalyptic number.

It is an amenable number.

122040656144 is an abundant number, since it is smaller than the sum of its proper divisors (144887657788).

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

122040656144 is a wasteful number, since it uses less digits than its factorization.

122040656144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703784 (or 1703767 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 122040656144 its reverse (441656040221), we get a palindrome (563696696365).

The spelling of 122040656144 in words is "one hundred twenty-two billion, forty million, six hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 121 148 176 242 296 407 484 592 814 968 1628 1936 3256 4477 6512 8954 17908 35816 71632 1703717 3407434 6814868 13629736 18740887 27259472 37481774 63037529 74963548 126075058 149927096 206149757 252150116 299854192 412299514 504300232 693412819 824599028 1008600464 1386825638 1649198056 2773651276 3298396112 5547302552 7627541009 11094605104 15255082018 30510164036 61020328072 122040656144