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121040892 = 2234783643
BaseRepresentation
bin1110011011011…
…10111111111100
322102202111220000
413031232333330
5221441302032
620002154300
72666554620
oct715567774
9272674800
10121040892
11623628a5
1234652990
131c0cc93b
141210b180
15a95de7c
hex736effc

121040892 has 120 divisors (see below), whose sum is σ = 366554496. Its totient is φ = 34113312.

The previous prime is 121040891. The next prime is 121040893. The reversal of 121040892 is 298040121.

It is an interprime number because it is at equal distance from previous prime (121040891) and next prime (121040893).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121040891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187923 + ... + 188565.

Almost surely, 2121040892 is an apocalyptic number.

121040892 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 121040892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183277248).

121040892 is an abundant number, since it is smaller than the sum of its proper divisors (245513604).

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

121040892 is a wasteful number, since it uses less digits than its factorization.

121040892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 121040892 is about 11001.8585702598. The cubic root of 121040892 is about 494.6644557926.

The spelling of 121040892 in words is "one hundred twenty-one million, forty thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 83 84 108 126 162 166 189 249 252 324 332 378 498 567 581 643 747 756 996 1134 1162 1286 1494 1743 1929 2241 2268 2324 2572 2988 3486 3858 4482 4501 5229 5787 6723 6972 7716 8964 9002 10458 11574 13446 13503 15687 17361 18004 20916 23148 26892 27006 31374 34722 40509 47061 52083 53369 54012 62748 69444 81018 94122 104166 106738 121527 160107 162036 188244 208332 213476 243054 320214 364581 373583 480321 486108 640428 729162 747166 960642 1120749 1440963 1458324 1494332 1921284 2241498 2881926 3362247 4322889 4482996 5763852 6724494 8645778 10086741 13448988 17291556 20173482 30260223 40346964 60520446 121040892