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121097158656 = 2183433581
BaseRepresentation
bin111000011000111110…
…1000000000000000000
3102120120110200001020020
41300301331000000000
53441001333034111
6131344204213440
711514620602455
oct1606175000000
9376513601206
10121097158656
11473a2209711
121b57723a280
13b55b5b1986
145c0ad4582c
15323b479906
hex1c31f40000

121097158656 has 152 divisors (see below), whose sum is σ = 330527301984. Its totient is φ = 39415971840.

The previous prime is 121097158649. The next prime is 121097158657. The reversal of 121097158656 is 656851790121.

It is a junction number, because it is equal to n+sod(n) for n = 121097158599 and 121097158608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121097158657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33814786 + ... + 33818366.

Almost surely, 2121097158656 is an apocalyptic number.

121097158656 is a gapful number since it is divisible by the number (16) 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 121097158656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165263650992).

121097158656 is an abundant number, since it is smaller than the sum of its proper divisors (209430143328).

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

121097158656 is an frugal number, since it uses more digits than its factorization.

121097158656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 51.

The spelling of 121097158656 in words is "one hundred twenty-one billion, ninety-seven million, one hundred fifty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2048 2064 2752 3072 3581 4096 4128 5504 6144 7162 8192 8256 10743 11008 12288 14324 16384 16512 21486 22016 24576 28648 32768 33024 42972 44032 49152 57296 65536 66048 85944 88064 98304 114592 131072 132096 153983 171888 176128 196608 229184 262144 264192 307966 343776 352256 393216 458368 461949 528384 615932 687552 704512 786432 916736 923898 1056768 1231864 1375104 1409024 1833472 1847796 2113536 2463728 2750208 2818048 3666944 3695592 4227072 4927456 5500416 5636096 7333888 7391184 8454144 9854912 11000832 11272192 14667776 14782368 16908288 19709824 22001664 29335552 29564736 33816576 39419648 44003328 58671104 59129472 78839296 88006656 117342208 118258944 157678592 176013312 234684416 236517888 315357184 352026624 469368832 473035776 630714368 704053248 938737664 946071552 1261428736 1408106496 1892143104 2522857472 2816212992 3784286208 5045714944 7568572416 10091429888 15137144832 20182859776 30274289664 40365719552 60548579328 121097158656