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122040241024 = 2713179409729
BaseRepresentation
bin111000110101000101…
…0100100101110000000
3102200000012020121000211
41301222022210232000
53444414300203044
6132021533523504
711550161634652
oct1615212445600
9380005217024
10122040241024
1147836597429
121b79b043594
13b67bab0b90
145c9a2b86d2
153294166634
hex1c6a2a4b80

122040241024 has 64 divisors (see below), whose sum is σ = 263292498000. Its totient is φ = 56011456512.

The previous prime is 122040241013. The next prime is 122040241061. The reversal of 122040241024 is 420142040221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122040240986 and 122040241004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92992 + ... + 502720.

Almost surely, 2122040241024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122040241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131646249000).

122040241024 is an abundant number, since it is smaller than the sum of its proper divisors (141252256976).

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

122040241024 is a wasteful number, since it uses less digits than its factorization.

122040241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409935 (or 409923 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 122040241024 its reverse (420142040221), we get a palindrome (542182281245).

The spelling of 122040241024 in words is "one hundred twenty-two billion, forty million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 179 208 358 416 716 832 1432 1664 2327 2864 4654 5728 9308 11456 18616 22912 37232 74464 148928 297856 409729 819458 1638916 3277832 5326477 6555664 10652954 13111328 21305908 26222656 42611816 52445312 73341491 85223632 146682982 170447264 293365964 340894528 586731928 681789056 953439383 1173463856 1906878766 2346927712 3813757532 4693855424 7627515064 9387710848 15255030128 30510060256 61020120512 122040241024