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121362840 = 233351031091
BaseRepresentation
bin1110011101111…
…01100110011000
322110100212112000
413032331212120
5222032102330
620013121000
73002365344
oct716754630
9273325460
10121362840
1162562775
1234789160
131c1b3341
1412192624
15a9c4560
hex73bd998

121362840 has 128 divisors (see below), whose sum is σ = 408844800. Its totient is φ = 32019840.

The previous prime is 121362821. The next prime is 121362859. The reversal of 121362840 is 48263121.

It is an interprime number because it is at equal distance from previous prime (121362821) and next prime (121362859).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110695 + ... + 111785.

It is an arithmetic number, because the mean of its divisors is an integer number (3194100).

Almost surely, 2121362840 is an apocalyptic number.

121362840 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 121362840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204422400).

121362840 is an abundant number, since it is smaller than the sum of its proper divisors (287481960).

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

121362840 is a wasteful number, since it uses less digits than its factorization.

121362840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 121362840 is about 11016.4803816827. The cubic root of 121362840 is about 495.1026417086.

The spelling of 121362840 in words is "one hundred twenty-one million, three hundred sixty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 103 108 120 135 180 206 216 270 309 360 412 515 540 618 824 927 1030 1080 1091 1236 1545 1854 2060 2182 2472 2781 3090 3273 3708 4120 4364 4635 5455 5562 6180 6546 7416 8728 9270 9819 10910 11124 12360 13092 13905 16365 18540 19638 21820 22248 26184 27810 29457 32730 37080 39276 43640 49095 55620 58914 65460 78552 98190 111240 112373 117828 130920 147285 196380 224746 235656 294570 337119 392760 449492 561865 589140 674238 898984 1011357 1123730 1178280 1348476 1685595 2022714 2247460 2696952 3034071 3371190 4045428 4494920 5056785 6068142 6742380 8090856 10113570 12136284 13484760 15170355 20227140 24272568 30340710 40454280 60681420 121362840