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120431320000 = 26549731039
BaseRepresentation
bin111000000101001000…
…1000001101111000000
3102111212001202221022021
41300022101001233000
53433120404220000
6131154141051224
711462254221055
oct1601221015700
9374761687267
10120431320000
1147090382232
121b410256b14
13b4836736c4
145b8674102c
1531ecca411a
hex1c0a441bc0

120431320000 has 140 divisors (see below), whose sum is σ = 301718919040. Its totient is φ = 47674368000.

The previous prime is 120431319991. The next prime is 120431320003. The reversal of 120431320000 is 23134021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120431320003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3864481 + ... + 3895519.

It is an arithmetic number, because the mean of its divisors is an integer number (2155135136).

Almost surely, 2120431320000 is an apocalyptic number.

120431320000 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 120431320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150859459520).

120431320000 is an abundant number, since it is smaller than the sum of its proper divisors (181287599040).

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

120431320000 is an frugal number, since it uses more digits than its factorization.

120431320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31168 (or 31143 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 120431320000 its reverse (23134021), we get a palindrome (120454454021).

The spelling of 120431320000 in words is "one hundred twenty billion, four hundred thirty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 125 160 194 200 250 320 388 400 485 500 625 776 800 970 1000 1250 1552 1600 1940 2000 2425 2500 3104 3880 4000 4850 5000 6208 7760 8000 9700 10000 12125 15520 19400 20000 24250 31039 31040 38800 40000 48500 60625 62078 77600 97000 121250 124156 155195 155200 194000 242500 248312 310390 388000 485000 496624 620780 775975 776000 970000 993248 1241560 1551950 1940000 1986496 2483120 3010783 3103900 3879875 3880000 4966240 6021566 6207800 7759750 9932480 12043132 12415600 15053915 15519500 19399375 24086264 24831200 30107830 31039000 38798750 48172528 49662400 60215660 62078000 75269575 77597500 96345056 120431320 124156000 150539150 155195000 192690112 240862640 248312000 301078300 310390000 376347875 481725280 602156600 620780000 752695750 963450560 1204313200 1241560000 1505391500 1881739375 2408626400 3010783000 3763478750 4817252800 6021566000 7526957500 12043132000 15053915000 24086264000 30107830000 60215660000 120431320000