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121504020 = 223511227811
BaseRepresentation
bin1110011111000…
…00000100010100
322110122001011220
413033200010110
5222101112040
620020130340
73003524061
oct717400424
9273561156
10121504020
1162649850
12348369b0
131c232691
14121cbc68
15aa012d0
hex73e0114

121504020 has 96 divisors (see below), whose sum is σ = 373234176. Its totient is φ = 29289600.

The previous prime is 121504013. The next prime is 121504021. The reversal of 121504020 is 20405121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121504021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149415 + ... + 150225.

It is an arithmetic number, because the mean of its divisors is an integer number (3887856).

Almost surely, 2121504020 is an apocalyptic number.

121504020 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 121504020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186617088).

121504020 is an abundant number, since it is smaller than the sum of its proper divisors (251730156).

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

121504020 is a wasteful number, since it uses less digits than its factorization.

121504020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 121504020 is about 11022.8861919191. The cubic root of 121504020 is about 495.2945497215.

Adding to 121504020 its reverse (20405121), we get a palindrome (141909141).

The spelling of 121504020 in words is "one hundred twenty-one million, five hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 227 330 454 660 681 811 908 1135 1362 1622 2270 2433 2497 2724 3244 3405 4055 4540 4866 4994 6810 7491 8110 8921 9732 9988 12165 12485 13620 14982 16220 17842 24330 24970 26763 29964 35684 37455 44605 48660 49940 53526 74910 89210 107052 133815 149820 178420 184097 267630 368194 535260 552291 736388 920485 1104582 1840970 2025067 2209164 2761455 3681940 4050134 5522910 6075201 8100268 10125335 11045820 12150402 20250670 24300804 30376005 40501340 60752010 121504020