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12115054440 = 2333540927427
BaseRepresentation
bin10110100100001110…
…10000111101101000
31011021022121112101000
423102013100331220
5144302423220230
65322055355000
7606136156266
oct132207207550
934238545330
1012115054440
1151576a5795
122421382a60
1311b0c49688
1482d00b436
154ad8eab60
hex2d21d0f68

12115054440 has 128 divisors (see below), whose sum is σ = 40483728000. Its totient is φ = 3222664704.

The previous prime is 12115054429. The next prime is 12115054451. The reversal of 12115054440 is 4445051121.

12115054440 is a `hidden beast` number, since 1 + 2 + 115 + 0 + 544 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12115054429) and next prime (12115054451).

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

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, 428007 + ... + 455433.

It is an arithmetic number, because the mean of its divisors is an integer number (316279125).

Almost surely, 212115054440 is an apocalyptic number.

12115054440 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 12115054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20241864000).

12115054440 is an abundant number, since it is smaller than the sum of its proper divisors (28368673560).

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

12115054440 is a wasteful number, since it uses less digits than its factorization.

12115054440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27856 (or 27846 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 12115054440 in words is "twelve billion, one hundred fifteen million, fifty-four thousand, four 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 90 108 120 135 180 216 270 360 409 540 818 1080 1227 1636 2045 2454 3272 3681 4090 4908 6135 7362 8180 9816 11043 12270 14724 16360 18405 22086 24540 27427 29448 36810 44172 49080 54854 55215 73620 82281 88344 109708 110430 137135 147240 164562 219416 220860 246843 274270 329124 411405 441720 493686 548540 658248 740529 822810 987372 1097080 1234215 1481058 1645620 1974744 2468430 2962116 3291240 3702645 4936860 5924232 7405290 9873720 11217643 14810580 22435286 29621160 33652929 44870572 56088215 67305858 89741144 100958787 112176430 134611716 168264645 201917574 224352860 269223432 302876361 336529290 403835148 448705720 504793935 605752722 673058580 807670296 1009587870 1211505444 1346117160 1514381805 2019175740 2423010888 3028763610 4038351480 6057527220 12115054440