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120100021200 = 243252476531087
BaseRepresentation
bin110111111011010000…
…1001110001111010000
3102110222222101012210100
41233312201032033100
53431431101134300
6131101224132400
711451122223255
oct1576641161720
9373888335710
10120100021200
1146a30370575
121b339307100
13b42cb37703
145b5474142c
1531cdb61700
hex1bf684e3d0

120100021200 has 360 divisors, whose sum is σ = 426692118528. Its totient is φ = 31268459520.

The previous prime is 120100021187. The next prime is 120100021241. The reversal of 120100021200 is 2120001021.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110487057 + ... + 110488143.

Almost surely, 2120100021200 is an apocalyptic number.

120100021200 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 120100021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213346059264).

120100021200 is an abundant number, since it is smaller than the sum of its proper divisors (306592097328).

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

120100021200 is a wasteful number, since it uses less digits than its factorization.

120100021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120100021200 its reverse (2120001021), we get a palindrome (122220022221).

The spelling of 120100021200 in words is "one hundred twenty billion, one hundred million, twenty-one thousand, two hundred".