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121351221642 = 23747109756039
BaseRepresentation
bin111000100000100011…
…0001011000110001010
3102121020011201210010110
41301001012023012022
53442011403043032
6131425321455150
711524124236050
oct1610106130612
9377204653113
10121351221642
1147512667a22
121b6283414b6
13b59c1177c1
145c3299c1d0
1532539127cc
hex1c4118b18a

121351221642 has 64 divisors (see below), whose sum is σ = 283539087360. Its totient is φ = 33902541696.

The previous prime is 121351221617. The next prime is 121351221643. The reversal of 121351221642 is 246122153121.

It is a super-2 number, since 2×1213512216422 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121351221643) 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, 2137459 + ... + 2193497.

It is an arithmetic number, because the mean of its divisors is an integer number (4430298240).

Almost surely, 2121351221642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121351221642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141769543680).

121351221642 is an abundant number, since it is smaller than the sum of its proper divisors (162187865718).

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

121351221642 is a wasteful number, since it uses less digits than its factorization.

121351221642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57195.

The product of its digits is 5760, while the sum is 30.

Adding to 121351221642 its reverse (246122153121), we get a palindrome (367473374763).

The spelling of 121351221642 in words is "one hundred twenty-one billion, three hundred fifty-one million, two hundred twenty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1097 1974 2194 3291 6582 7679 15358 23037 46074 51559 56039 103118 112078 154677 168117 309354 336234 360913 392273 721826 784546 1082739 1176819 2165478 2353638 2633833 5267666 7901499 15802998 18436831 36873662 55310493 61474783 110620986 122949566 184424349 368848698 430323481 860646962 1290970443 2581940886 2889314801 5778629602 8667944403 17335888806 20225203607 40450407214 60675610821 121351221642