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122340021450432 = 2631493426783397
BaseRepresentation
bin11011110100010010000001…
…100001010011011011000000
3121001011120222102222020121120
4123310102001201103123000
5112013404330442403212
61112110121401352240
734524526531265232
oct3364220141233300
9531146872866546
10122340021450432
1135a88125790365
121187a395798680
1353357cb142856
14222d408014252
15e2252861488c
hex6f44818536c0

122340021450432 has 56 divisors (see below), whose sum is σ = 323908113478896. Its totient is φ = 40752692917248.

The previous prime is 122340021450377. The next prime is 122340021450461. The reversal of 122340021450432 is 234054120043221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122340021450393 and 122340021450402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213105043 + ... + 213678354.

Almost surely, 2122340021450432 is an apocalyptic number.

122340021450432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122340021450432 is an abundant number, since it is smaller than the sum of its proper divisors (201568092028464).

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

122340021450432 is a wasteful number, since it uses less digits than its factorization.

122340021450432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426784905 (or 426784895 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 122340021450432 its reverse (234054120043221), we get a palindrome (356394141493653).

The spelling of 122340021450432 in words is "one hundred twenty-two trillion, three hundred forty billion, twenty-one million, four hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1493 2986 4479 5972 8958 11944 17916 23888 35832 47776 71664 95552 143328 286656 426783397 853566794 1280350191 1707133588 2560700382 3414267176 5121400764 6828534352 10242801528 13657068704 20485603056 27314137408 40971206112 81942412224 637187611721 1274375223442 1911562835163 2548750446884 3823125670326 5097500893768 7646251340652 10195001787536 15292502681304 20390003575072 30585005362608 40780007150144 61170010725216 122340021450432