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121144452 = 2231113227311
BaseRepresentation
bin1110011100010…
…00010010000100
322102221202221120
413032020102010
5222003110302
620004313540
73000465552
oct716102204
9272852846
10121144452
1162423690
12346a28b0
131c137b10
1412136bd2
15a97e9bc
hex7388484

121144452 has 96 divisors (see below), whose sum is σ = 334623744. Its totient is φ = 33628800.

The previous prime is 121144451. The next prime is 121144481. The reversal of 121144452 is 254441121.

It is a super-3 number, since 3×1211444523 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (121144451) 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, 389377 + ... + 389687.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2121144452 is an apocalyptic number.

121144452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121144452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

121144452 is an abundant number, since it is smaller than the sum of its proper divisors (213479292).

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

121144452 is a wasteful number, since it uses less digits than its factorization.

121144452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 567 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 121144452 is about 11006.5640415163. The cubic root of 121144452 is about 494.8054903566.

Adding to 121144452 its reverse (254441121), we get a palindrome (375585573).

The spelling of 121144452 in words is "one hundred twenty-one million, one hundred forty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 227 286 311 429 454 572 622 681 858 908 933 1244 1362 1716 1866 2497 2724 2951 3421 3732 4043 4994 5902 6842 7491 8086 8853 9988 10263 11804 12129 13684 14982 16172 17706 20526 24258 29964 32461 35412 41052 44473 48516 64922 70597 88946 97383 129844 133419 141194 177892 194766 211791 266838 282388 389532 423582 533676 776567 847164 917761 1553134 1835522 2329701 2753283 3106268 3671044 4659402 5506566 9318804 10095371 11013132 20190742 30286113 40381484 60572226 121144452