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121244031432 = 23328940014729
BaseRepresentation
bin111000011101010110…
…1010001100111001000
3102120221201000221210200
41300322231101213020
53441301433001212
6131410532212200
711521353156126
oct1607255214710
9376851027720
10121244031432
1147468105377
121b5b846a060
13b582b57344
145c22658916
1532492dc6dc
hex1c3ab519c8

121244031432 has 96 divisors (see below), whose sum is σ = 332212023000. Its totient is φ = 39942144000.

The previous prime is 121244031373. The next prime is 121244031449. The reversal of 121244031432 is 234130442121.

121244031432 is a `hidden beast` number, since 1 + 212 + 4 + 403 + 1 + 43 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18353204676 + 102890826756 = 135474^2 + 320766^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121244031396 and 121244031405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25636044 + ... + 25640772.

Almost surely, 2121244031432 is an apocalyptic number.

121244031432 is a gapful number since it is divisible by the number (12) 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 121244031432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166106011500).

121244031432 is an abundant number, since it is smaller than the sum of its proper divisors (210967991568).

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

121244031432 is a wasteful number, since it uses less digits than its factorization.

121244031432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8831 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 121244031432 its reverse (234130442121), we get a palindrome (355374473553).

The spelling of 121244031432 in words is "one hundred twenty-one billion, two hundred forty-four million, thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 4001 4729 6408 8002 9458 12003 14187 16004 18916 24006 28374 32008 36009 37832 42561 48012 56748 72018 85122 96024 113496 144036 170244 288072 340488 356089 420881 712178 841762 1068267 1262643 1424356 1683524 2136534 2525286 2848712 3204801 3367048 3787929 4273068 5050572 6409602 7575858 8546136 10101144 12819204 15151716 18920729 25638408 30303432 37841458 56762187 75682916 113524374 151365832 170286561 227048748 340573122 454097496 681146244 1362292488 1683944881 3367889762 5051834643 6735779524 10103669286 13471559048 15155503929 20207338572 30311007858 40414677144 60622015716 121244031432