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120213331000 = 23537101193881
BaseRepresentation
bin110111111110101000…
…1011101110000111000
3102111021212120221121121
41233331101131300320
53432144103043000
6131120352515024
711453666311450
oct1577521356070
9374255527547
10120213331000
1146a89322934
121b36b24ba74
13b44a45b429
145b657d8d60
1531d8a94b1a
hex1bfd45dc38

120213331000 has 256 divisors, whose sum is σ = 326720459520. Its totient is φ = 40550400000.

The previous prime is 120213330943. The next prime is 120213331001. The reversal of 120213331000 is 133312021.

It is a super-2 number, since 2×1202133310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120213331001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136450560 + ... + 136451440.

It is an arithmetic number, because the mean of its divisors is an integer number (1276251795).

Almost surely, 2120213331000 is an apocalyptic number.

120213331000 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 120213331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163360229760).

120213331000 is an abundant number, since it is smaller than the sum of its proper divisors (206507128520).

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

120213331000 is a wasteful number, since it uses less digits than its factorization.

120213331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 120213331000 its reverse (133312021), we get a palindrome (120346643021).

The spelling of 120213331000 in words is "one hundred twenty billion, two hundred thirteen million, three hundred thirty-one thousand".