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120089976900 = 223521921068417
BaseRepresentation
bin110111111010111101…
…0111010000001000100
3102110222021110220121020
41233311322322001010
53431421013230100
6131100224551140
711450640650505
oct1576572720104
9373867426536
10120089976900
1146a257300a3
121b335a824b0
13b42aa2b93a
145b53288bac
1531ccd2a5a0
hex1bf5eba044

120089976900 has 72 divisors (see below), whose sum is σ = 365747736480. Its totient is φ = 30338519040.

The previous prime is 120089976893. The next prime is 120089976901. The reversal of 120089976900 is 9679980021.

It is a happy number.

It is a super-2 number, since 2×1200899769002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120089976901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10528509 + ... + 10539908.

Almost surely, 2120089976900 is an apocalyptic number.

120089976900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120089976900 is an abundant number, since it is smaller than the sum of its proper divisors (245657759580).

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

120089976900 is a wasteful number, since it uses less digits than its factorization.

120089976900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21068453 (or 21068446 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 120089976900 in words is "one hundred twenty billion, eighty-nine million, nine hundred seventy-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 21068417 42136834 63205251 84273668 105342085 126410502 210684170 252821004 316026255 400299923 421368340 526710425 632052510 800599846 1053420850 1200899769 1264105020 1580131275 1601199692 2001499615 2106841700 2401799538 3160262550 4002999230 4803599076 6004498845 6320525100 8005998460 10007498075 12008997690 20014996150 24017995380 30022494225 40029992300 60044988450 120089976900