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121242434432 = 277314365007
BaseRepresentation
bin111000011101010011…
…1001011101110000000
3102120221121000211010112
41300322213023232000
53441301030400212
6131410434050452
711521333455140
oct1607247135600
9376847024115
10121242434432
1147467214539
121b5b7a19a28
13b582718482
145c22360920
1532490c4422
hex1c3a9cbb80

121242434432 has 64 divisors (see below), whose sum is σ = 284947722240. Its totient is φ = 50284869120.

The previous prime is 121242434431. The next prime is 121242434437. The reversal of 121242434432 is 234434242121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121242434431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2154728 + ... + 2210279.

It is an arithmetic number, because the mean of its divisors is an integer number (4452308160).

Almost surely, 2121242434432 is an apocalyptic number.

It is an amenable number.

121242434432 is an abundant number, since it is smaller than the sum of its proper divisors (163705287808).

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

121242434432 is an equidigital number, since it uses as much as digits as its factorization.

121242434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365059 (or 4365047 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

Adding to 121242434432 its reverse (234434242121), we get a palindrome (355676676553).

The spelling of 121242434432 in words is "one hundred twenty-one billion, two hundred forty-two million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3968 6944 13888 27776 4365007 8730014 17460028 30555049 34920056 61110098 69840112 122220196 135315217 139680224 244440392 270630434 279360448 488880784 541260868 558720896 947206519 977761568 1082521736 1894413038 1955523136 2165043472 3788826076 3911046272 4330086944 7577652152 8660173888 15155304304 17320347776 30310608608 60621217216 121242434432