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121093812 = 22337315167
BaseRepresentation
bin1110011011110…
…11111010110100
322102212012111000
413031323322310
5222000000222
620003243300
73000165120
oct715737264
9272765430
10121093812
1162399634
1234679530
131c11aa58
1412122580
15a96e9ac
hex737beb4

121093812 has 96 divisors (see below), whose sum is σ = 370442240. Its totient is φ = 33475680.

The previous prime is 121093811. The next prime is 121093813. The reversal of 121093812 is 218390121.

121093812 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (121093811) and next prime (121093813).

It is a super-2 number, since 2×1210938122 = 29327422609382688, which contains 22 as substring.

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

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121093811) 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, 20853 + ... + 26019.

Almost surely, 2121093812 is an apocalyptic number.

121093812 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 121093812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185221120).

121093812 is an abundant number, since it is smaller than the sum of its proper divisors (249348428).

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

121093812 is a wasteful number, since it uses less digits than its factorization.

121093812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5218 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 121093812 is about 11004.2633556272. The cubic root of 121093812 is about 494.7365356451.

The spelling of 121093812 in words is "one hundred twenty-one million, ninety-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3348 3906 5167 5859 7812 10334 11718 15501 20668 23436 31002 36169 46503 62004 72338 93006 108507 139509 144676 160177 186012 217014 279018 320354 325521 434028 480531 558036 640708 651042 961062 976563 1121239 1302084 1441593 1922124 1953126 2242478 2883186 3363717 3906252 4324779 4484956 5766372 6727434 8649558 10091151 13454868 17299116 20182302 30273453 40364604 60546906 121093812