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121234650456 = 23331475958763
BaseRepresentation
bin111000011101000100…
…1011111010101011000
3102120221001101100112010
41300322021133111120
53441242032303311
6131405555145520
711521210345263
oct1607211372530
9376831340463
10121234650456
11474628882a7
121b5b52a52a0
13b580c2147a
145c212d5cda
153248587da6
hex1c3a25f558

121234650456 has 128 divisors (see below), whose sum is σ = 324941414400. Its totient is φ = 37626483840.

The previous prime is 121234650431. The next prime is 121234650473. The reversal of 121234650456 is 654056432121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2033731 + ... + 2092493.

It is an arithmetic number, because the mean of its divisors is an integer number (2538604800).

Almost surely, 2121234650456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121234650456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162470707200).

121234650456 is an abundant number, since it is smaller than the sum of its proper divisors (203706763944).

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

121234650456 is a wasteful number, since it uses less digits than its factorization.

121234650456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58909 (or 58905 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 121234650456 in words is "one hundred twenty-one billion, two hundred thirty-four million, six hundred fifty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 31 47 59 62 93 94 118 124 141 177 186 188 236 248 282 354 372 376 472 564 708 744 1128 1416 1457 1829 2773 2914 3658 4371 5487 5546 5828 7316 8319 8742 10974 11092 11656 14632 16638 17484 21948 22184 33276 34968 43896 58763 66552 85963 117526 171926 176289 235052 257889 343852 352578 470104 515778 687704 705156 1031556 1410312 1821653 2063112 2761861 3467017 3643306 5464959 5523722 6934034 7286612 8285583 10401051 10929918 11047444 13868068 14573224 16571166 20802102 21859836 22094888 27736136 33142332 41604204 43719672 66284664 83208408 85617691 107477527 162949799 171235382 214955054 256853073 322432581 325899598 342470764 429910108 488849397 513706146 644865162 651799196 684941528 859820216 977698794 1027412292 1289730324 1303598392 1955397588 2054824584 2579460648 3910795176 5051443769 10102887538 15154331307 20205775076 30308662614 40411550152 60617325228 121234650456