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121530353440 = 25517373311969
BaseRepresentation
bin111000100101111000…
…1100000011100100000
3102121200122210121202111
41301023301200130200
53442343232302230
6131455201125104
711531430650146
oct1611361403440
9377618717674
10121530353440
11475a4797331
121b678329794
13b5ca276452
145c4c6ab596
1532644e892a
hex1c4bc60720

121530353440 has 96 divisors (see below), whose sum is σ = 304111447920. Its totient is φ = 45736525824.

The previous prime is 121530353363. The next prime is 121530353471. The reversal of 121530353440 is 44353035121.

It can be written as a sum of positive squares in 8 ways, for example, as 43696049296 + 77834304144 = 209036^2 + 278988^2 .

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, 10147776 + ... + 10159744.

Almost surely, 2121530353440 is an apocalyptic number.

121530353440 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 121530353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152055723960).

121530353440 is an abundant number, since it is smaller than the sum of its proper divisors (182581094480).

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

121530353440 is a wasteful number, since it uses less digits than its factorization.

121530353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15734 (or 15726 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 121530353440 its reverse (44353035121), we get a palindrome (165883388561).

The spelling of 121530353440 in words is "one hundred twenty-one billion, five hundred thirty million, three hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 3733 7466 11969 14932 18665 23938 29864 37330 47876 59728 59845 63461 74660 95752 119456 119690 126922 149320 191504 203473 239380 253844 298640 317305 383008 406946 478760 507688 597280 634610 813892 957520 1015376 1017365 1269220 1627784 1915040 2030752 2034730 2538440 3255568 4069460 5076880 6511136 8138920 10153760 16277840 32555680 44680277 89360554 178721108 223401385 357442216 446802770 714884432 759564709 893605540 1429768864 1519129418 1787211080 3038258836 3574422160 3797823545 6076517672 7148844320 7595647090 12153035344 15191294180 24306070688 30382588360 60765176720 121530353440