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121432041120340 = 22523943358670191
BaseRepresentation
bin11011100111000100011001…
…101011001110001001010100
3120220221210022201210101112001
4123213010121223032021110
5111404020310011322330
61110133035400005044
734402114115650216
oct3347043153161124
9526853281711461
10121432041120340
1135768048538445
1211752414a60784
13529acb923c742
1421db4b0c045b6
15e08ad56c59ca
hex6e7119ace254

121432041120340 has 48 divisors (see below), whose sum is σ = 256665662346240. Its totient is φ = 48257874040320.

The previous prime is 121432041120323. The next prime is 121432041120347. The reversal of 121432041120340 is 43021140234121.

It is a happy number.

It is a super-2 number, since 2×1214320411203402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121432041120299 and 121432041120308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121432041120347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27265356 + ... + 31404835.

It is an arithmetic number, because the mean of its divisors is an integer number (5347201298880).

Almost surely, 2121432041120340 is an apocalyptic number.

121432041120340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121432041120340 is an abundant number, since it is smaller than the sum of its proper divisors (135233621225900).

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

121432041120340 is a wasteful number, since it uses less digits than its factorization.

121432041120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58670872 (or 58670870 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 121432041120340 its reverse (43021140234121), we get a palindrome (164453181354461).

The spelling of 121432041120340 in words is "one hundred twenty-one trillion, four hundred thirty-two billion, forty-one million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 239 433 478 866 956 1195 1732 2165 2390 4330 4780 8660 103487 206974 413948 517435 1034870 2069740 58670191 117340382 234680764 293350955 586701910 1173403820 14022175649 25404192703 28044351298 50808385406 56088702596 70110878245 101616770812 127020963515 140221756490 254041927030 280443512980 508083854060 6071602056017 12143204112034 24286408224068 30358010280085 60716020560170 121432041120340