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12000401033440 = 2551271494739511
BaseRepresentation
bin1010111010100000111110…
…1001000000100011100000
31120111020010120200201020211
42232220033221000203200
53033103310131032230
641304524053343504
72346000060520141
oct256501751004340
946436116621224
1012000401033440
1139073835961a6
121419912037b94
1369082c803691
142d6b72d71ac8
1515c25823a42a
hexaea0fa408e0

12000401033440 has 96 divisors (see below), whose sum is σ = 28576818192384. Its totient is φ = 4761924733440.

The previous prime is 12000401033437. The next prime is 12000401033471. The reversal of 12000401033440 is 4433010400021.

It is a congruent number.

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, 303703285 + ... + 303742795.

It is an arithmetic number, because the mean of its divisors is an integer number (297675189504).

Almost surely, 212000401033440 is an apocalyptic number.

12000401033440 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 12000401033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288409096192).

12000401033440 is an abundant number, since it is smaller than the sum of its proper divisors (16576417158944).

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

12000401033440 is a wasteful number, since it uses less digits than its factorization.

12000401033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54600 (or 54592 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12000401033440 its reverse (4433010400021), we get a palindrome (16433411433461).

The spelling of 12000401033440 in words is "twelve trillion, four hundred one million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 508 635 1016 1270 2032 2540 4064 5080 10160 14947 20320 29894 39511 59788 74735 79022 119576 149470 158044 197555 239152 298940 316088 395110 478304 597880 632176 790220 1195760 1264352 1580440 1898269 2391520 3160880 3796538 5017897 6321760 7593076 9491345 10035794 15186152 18982690 20071588 25089485 30372304 37965380 40143176 50178970 60744608 75930760 80286352 100357940 151861520 160572704 200715880 303723040 401431760 590570917 802863520 1181141834 2362283668 2952854585 4724567336 5905709170 9449134672 11811418340 18898269344 23622836680 47245673360 75002506459 94491346720 150005012918 300010025836 375012532295 600020051672 750025064590 1200040103344 1500050129180 2400080206688 3000100258360 6000200516720 12000401033440