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120122421040 = 24537109372311
BaseRepresentation
bin110111111011111011…
…0101010111100110000
3102111001112112020121001
41233313312222330300
53432002314433130
6131103344211344
711451513506026
oct1576766527460
9374045466531
10120122421040
1146a41a7a936
121b344909b54
13b43467b25b
145b576d2716
1531d0ad86ca
hex1bf7daaf30

120122421040 has 80 divisors (see below), whose sum is σ = 289465133760. Its totient is φ = 46321320960.

The previous prime is 120122420989. The next prime is 120122421113. The reversal of 120122421040 is 40124221021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1201224210402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120122420999 and 120122421017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136485 + ... + 508795.

It is an arithmetic number, because the mean of its divisors is an integer number (3618314172).

Almost surely, 2120122421040 is an apocalyptic number.

120122421040 is a gapful number since it is divisible by the number (10) 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 120122421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144732566880).

120122421040 is an abundant number, since it is smaller than the sum of its proper divisors (169342712720).

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

120122421040 is a wasteful number, since it uses less digits than its factorization.

120122421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372470 (or 372464 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 120122421040 its reverse (40124221021), we get a palindrome (160246642061).

The spelling of 120122421040 in words is "one hundred twenty billion, one hundred twenty-two million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 109 148 185 218 296 370 436 545 592 740 872 1090 1480 1744 2180 2960 4033 4360 8066 8720 16132 20165 32264 40330 64528 80660 161320 322640 372311 744622 1489244 1861555 2978488 3723110 5956976 7446220 13775507 14892440 27551014 29784880 40581899 55102028 68877535 81163798 110204056 137755070 162327596 202909495 220408112 275510140 324655192 405818990 551020280 649310384 811637980 1102040560 1501530263 1623275960 3003060526 3246551920 6006121052 7507651315 12012242104 15015302630 24024484208 30030605260 60061210520 120122421040