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120220020001200 = 24352729694820447
BaseRepresentation
bin11011010101011011100111…
…100101100100100110110000
3120202122220212220020011011210
4123111123213211210212300
5111224141100110014300
61103404151553040120
734215416111300460
oct3325334745444660
9522586786204153
10120220020001200
113534002a185649
1211597541556040
1352109123075b2
142198973d61ba0
15dd72ea497050
hex6d56e79649b0

120220020001200 has 240 divisors, whose sum is σ = 440268098181120. Its totient is φ = 27469600757760.

The previous prime is 120220020001181. The next prime is 120220020001247. The reversal of 120220020001200 is 2100020022021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22529377 + ... + 27349823.

It is an arithmetic number, because the mean of its divisors is an integer number (1834450409088).

Almost surely, 2120220020001200 is an apocalyptic number.

120220020001200 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 120220020001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220134049090560).

120220020001200 is an abundant number, since it is smaller than the sum of its proper divisors (320048078179920).

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

120220020001200 is a wasteful number, since it uses less digits than its factorization.

120220020001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823444 (or 4823433 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120220020001200 its reverse (2100020022021), we get a palindrome (122320040023221).

The spelling of 120220020001200 in words is "one hundred twenty trillion, two hundred twenty billion, twenty million, one thousand, two hundred".