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122013302022 = 2351953249311
BaseRepresentation
bin111000110100010001…
…1110011110100000110
3102122221022112221200000
41301220203303310012
53444340401131042
6132015132302130
711546413645413
oct1615043636406
9378838487600
10122013302022
1147822367797
121b792011946
13b67633b241
145c968a510a
153291ae474c
hex1c688f3d06

122013302022 has 96 divisors (see below), whose sum is σ = 294028600320. Its totient is φ = 37803373920.

The previous prime is 122013302017. The next prime is 122013302027. The reversal of 122013302022 is 220203310221.

It is an interprime number because it is at equal distance from previous prime (122013302017) and next prime (122013302027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122013301986 and 122013302004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122013302027) 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, 364747 + ... + 614057.

It is an arithmetic number, because the mean of its divisors is an integer number (3062797920).

Almost surely, 2122013302022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122013302022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147014300160).

122013302022 is an abundant number, since it is smaller than the sum of its proper divisors (172015298298).

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

122013302022 is a wasteful number, since it uses less digits than its factorization.

122013302022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249400 (or 249388 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122013302022 its reverse (220203310221), we get a palindrome (342216612243).

The spelling of 122013302022 in words is "one hundred twenty-two billion, thirteen million, three hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 53 54 57 81 106 114 159 162 171 243 318 342 477 486 513 954 1007 1026 1431 1539 2014 2862 3021 3078 4293 4617 6042 8586 9063 9234 12879 18126 25758 27189 54378 81567 163134 244701 249311 489402 498622 747933 1495866 2243799 4487598 4736909 6731397 9473818 13213483 13462794 14210727 20194191 26426966 28421454 39640449 40388382 42632181 60582573 79280898 85264362 118921347 121165146 127896543 237842694 251056177 255793086 356764041 383689629 502112354 713528082 753168531 767379258 1070292123 1151068887 1506337062 2140584246 2259505593 2302137774 3210876369 4519011186 6421752738 6778516779 13557033558 20335550337 40671100674 61006651011 122013302022