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121133322 = 23219438237
BaseRepresentation
bin1110011100001…
…01100100001010
322102221012200100
413032011210022
5222002231242
620004150230
73000421242
oct716054412
9272835610
10121133322
1162416292
1234698376
131c132a2b
1412132b22
15a97b54c
hex738590a

121133322 has 48 divisors (see below), whose sum is σ = 282728160. Its totient is φ = 37358496.

The previous prime is 121133321. The next prime is 121133323. The reversal of 121133322 is 223331121.

It is an interprime number because it is at equal distance from previous prime (121133321) and next prime (121133323).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121133295 and 121133304.

It is not an unprimeable number, because it can be changed into a prime (121133321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10588 + ... + 18824.

It is an arithmetic number, because the mean of its divisors is an integer number (5890170).

Almost surely, 2121133322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121133322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141364080).

121133322 is an abundant number, since it is smaller than the sum of its proper divisors (161594838).

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

121133322 is a wasteful number, since it uses less digits than its factorization.

121133322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8307 (or 8304 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 121133322 is about 11006.0584225235. The cubic root of 121133322 is about 494.7903366739.

Adding to 121133322 its reverse (223331121), we get a palindrome (344464443).

The spelling of 121133322 in words is "one hundred twenty-one million, one hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 43 57 86 114 129 171 258 342 387 774 817 1634 2451 4902 7353 8237 14706 16474 24711 49422 74133 148266 156503 313006 354191 469509 708382 939018 1062573 1408527 2125146 2817054 3187719 6375438 6729629 13459258 20188887 40377774 60566661 121133322