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121290540 = 22357317911
BaseRepresentation
bin1110011101010…
…11111100101100
322110020012100020
413032223330230
5222022244130
620011402140
73001644510
oct716537454
9273205306
10121290540
1162513418
1234753350
131c189467
1412174140
15a9ace10
hex73abf2c

121290540 has 96 divisors (see below), whose sum is σ = 389781504. Its totient is φ = 27605760.

The previous prime is 121290527. The next prime is 121290581. The reversal of 121290540 is 45092121.

It is a super-2 number, since 2×1212905402 = 29422790186983200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121290540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132685 + ... + 133595.

It is an arithmetic number, because the mean of its divisors is an integer number (4060224).

Almost surely, 2121290540 is an apocalyptic number.

121290540 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 121290540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194890752).

121290540 is an abundant number, since it is smaller than the sum of its proper divisors (268490964).

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

121290540 is a wasteful number, since it uses less digits than its factorization.

121290540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 121290540 is about 11013.1984455017. The cubic root of 121290540 is about 495.0043056456.

The spelling of 121290540 in words is "one hundred twenty-one million, two hundred ninety thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 317 420 634 911 951 1268 1585 1822 1902 2219 2733 3170 3644 3804 4438 4555 4755 5466 6340 6377 6657 8876 9110 9510 10932 11095 12754 13314 13665 18220 19020 19131 22190 25508 26628 27330 31885 33285 38262 44380 54660 63770 66570 76524 95655 127540 133140 191310 288787 382620 577574 866361 1155148 1443935 1732722 2021509 2887870 3465444 4043018 4331805 5775740 6064527 8086036 8663610 10107545 12129054 17327220 20215090 24258108 30322635 40430180 60645270 121290540