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120022110200096 = 25132181122615677
BaseRepresentation
bin11011010010100011010011…
…001111100110000100100000
3120201222000001020000120112022
4123102203103033212010200
5111212420240202400341
61103133221331121012
734165211530610006
oct3322432317460440
9521860036016468
10120022110200096
1135274100268855
1211565109a43168
1351c8062054100
14218d15b6d8a76
15dd20b57a0e4b
hex6d28d33e6120

120022110200096 has 72 divisors (see below), whose sum is σ = 257281779602484. Its totient is φ = 55088770913280.

The previous prime is 120022110200081. The next prime is 120022110200137. The reversal of 120022110200096 is 690002011220021.

It can be written as a sum of positive squares in 6 ways, for example, as 1307226355600 + 118714883844496 = 1143340^2 + 10895636^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60328991 + ... + 62286686.

Almost surely, 2120022110200096 is an apocalyptic number.

120022110200096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120022110200096 is an abundant number, since it is smaller than the sum of its proper divisors (137259669402388).

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

120022110200096 is a wasteful number, since it uses less digits than its factorization.

120022110200096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122615894 (or 122615873 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 120022110200096 in words is "one hundred twenty trillion, twenty-two billion, one hundred ten million, two hundred thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 181 208 338 362 416 676 724 1352 1448 2353 2704 2896 4706 5408 5792 9412 18824 30589 37648 61178 75296 122356 244712 489424 978848 122615677 245231354 490462708 980925416 1594003801 1961850832 3188007602 3923701664 6376015204 12752030408 20722049413 22193437537 25504060816 41444098826 44386875074 51008121632 82888197652 88773750148 165776395304 177547500296 288514687981 331552790608 355095000592 577029375962 663105581216 710190001184 1154058751924 2308117503848 3750690943753 4616235007696 7501381887506 9232470015392 15002763775012 30005527550024 60011055100048 120022110200096