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12132412330440 = 2335234395801569
BaseRepresentation
bin1011000010001100110000…
…1000001001000111001000
31120221211212200020102200010
42300203030020021013020
53042234140024033230
641445315301511520
72361352326160143
oct260431410110710
946854780212603
1012132412330440
113958366518556
12143b4144125a0
136a010a2a957c
142dd2d75d705a
151608d29439b0
hexb08cc2091c8

12132412330440 has 64 divisors (see below), whose sum is σ = 37979725564800. Its totient is φ = 3094644303872.

The previous prime is 12132412330351. The next prime is 12132412330481. The reversal of 12132412330440 is 4403321423121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12132412330398 and 12132412330407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2197898025 + ... + 2197903544.

It is an arithmetic number, because the mean of its divisors is an integer number (593433211950).

Almost surely, 212132412330440 is an apocalyptic number.

12132412330440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132412330440 is an abundant number, since it is smaller than the sum of its proper divisors (25847313234360).

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

12132412330440 is a wasteful number, since it uses less digits than its factorization.

12132412330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395801606 (or 4395801602 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12132412330440 its reverse (4403321423121), we get a palindrome (16535733753561).

The spelling of 12132412330440 in words is "twelve trillion, one hundred thirty-two billion, four hundred twelve million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 4395801569 8791603138 13187404707 17583206276 21979007845 26374809414 35166412552 43958015690 52749618828 65937023535 87916031380 101103436087 105499237656 131874047070 175832062760 202206872174 263748094140 303310308261 404413744348 505517180435 527496188280 606620616522 808827488696 1011034360870 1213241233044 1516551541305 2022068721740 2426482466088 3033103082610 4044137443480 6066206165220 12132412330440