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120203113200 = 24352100169261
BaseRepresentation
bin110111111110010101…
…0011111001011110000
3102111021011100211102120
41233330222133023300
53432133444110300
6131115345514240
711453513414112
oct1577452371360
9374234324376
10120203113200
1146a83584075
121b367942980
13b4482c16b1
145b642d93b2
1531d7c273a0
hex1bfca9f2f0

120203113200 has 60 divisors (see below), whose sum is σ = 385050643128. Its totient is φ = 32054163200.

The previous prime is 120203113183. The next prime is 120203113201. The reversal of 120203113200 is 2311302021.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120203113200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120203113201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50083431 + ... + 50085830.

Almost surely, 2120203113200 is an apocalyptic number.

120203113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120203113200 is an abundant number, since it is smaller than the sum of its proper divisors (264847529928).

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

120203113200 is a wasteful number, since it uses less digits than its factorization.

120203113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100169282 (or 100169271 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 120203113200 its reverse (2311302021), we get a palindrome (122514415221).

The spelling of 120203113200 in words is "one hundred twenty billion, two hundred three million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 100169261 200338522 300507783 400677044 500846305 601015566 801354088 1001692610 1202031132 1502538915 1602708176 2003385220 2404062264 2504231525 3005077830 4006770440 4808124528 5008463050 6010155660 7512694575 8013540880 10016926100 12020311320 15025389150 20033852200 24040622640 30050778300 40067704400 60101556600 120203113200