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120211977296 = 2437332012657
BaseRepresentation
bin110111111110100110…
…0010011010001010000
3102111021210001011200102
41233331030103101100
53432143231233141
6131120303511532
711453651643005
oct1577514232120
9374253034612
10120211977296
1146a88588874
121b36a8b85a8
13b44a0a6218
145b655658ac
1531d88c899b
hex1bfd313450

120211977296 has 20 divisors (see below), whose sum is σ = 232973214132. Its totient is φ = 60089857536.

The previous prime is 120211977271. The next prime is 120211977299. The reversal of 120211977296 is 692779112021.

It can be written as a sum of positive squares in 2 ways, for example, as 34969000000 + 85242977296 = 187000^2 + 291964^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 120211977296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211977299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 946601 + ... + 1066056.

Almost surely, 2120211977296 is an apocalyptic number.

120211977296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120211977296 is a deficient number, since it is larger than the sum of its proper divisors (112761236836).

120211977296 is a wasteful number, since it uses less digits than its factorization.

120211977296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016398 (or 2016392 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 47.

The spelling of 120211977296 in words is "one hundred twenty billion, two hundred eleven million, nine hundred seventy-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 3733 7466 14932 29864 59728 2012657 4025314 8050628 16101256 32202512 7513248581 15026497162 30052994324 60105988648 120211977296