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121162140 = 223251125563
BaseRepresentation
bin1110011100011…
…00100110011100
322102222200012200
413032030212130
5222004142030
620004531500
73000601251
oct716144634
9272880180
10121162140
1162435a00
12346b0b90
131c142b98
141213d428
15a984d60
hex738c99c

121162140 has 108 divisors (see below), whose sum is σ = 404046552. Its totient is φ = 29367360.

The previous prime is 121162127. The next prime is 121162147. The reversal of 121162140 is 41261121.

121162140 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 621 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121162147) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18999 + ... + 24561.

Almost surely, 2121162140 is an apocalyptic number.

121162140 is a gapful number since it is divisible by the number (10) 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 121162140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202023276).

121162140 is an abundant number, since it is smaller than the sum of its proper divisors (282884412).

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

121162140 is a wasteful number, since it uses less digits than its factorization.

121162140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5600 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 121162140 is about 11007.3675327028. The cubic root of 121162140 is about 494.8295709575.

It can be divided in two parts, 121 and 162140, that added together give a palindrome (162261).

The spelling of 121162140 in words is "one hundred twenty-one million, one hundred sixty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 5563 7260 10890 11126 16689 21780 22252 27815 33378 50067 55630 61193 66756 83445 100134 111260 122386 166890 183579 200268 244772 250335 305965 333780 367158 500670 550737 611930 673123 734316 917895 1001340 1101474 1223860 1346246 1835790 2019369 2202948 2692492 2753685 3365615 3671580 4038738 5507370 6058107 6731230 8077476 10096845 11014740 12116214 13462460 20193690 24232428 30290535 40387380 60581070 121162140