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122020021200 = 2435271110312821
BaseRepresentation
bin111000110100011110…
…1011100001111010000
3102122221210012022122110
41301220331130033100
53444344111134300
6132015532305320
711546525032020
oct1615075341720
9378853168573
10122020021200
1147826136a30
121b794312240
13b67785169c
145c97733a80
1532924c0550
hex1c68f5c3d0

122020021200 has 480 divisors, whose sum is σ = 492089075712. Its totient is φ = 25106688000.

The previous prime is 122020021187. The next prime is 122020021217. The reversal of 122020021200 is 2120020221.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9510790 + ... + 9523610.

Almost surely, 2122020021200 is an apocalyptic number.

122020021200 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 122020021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246044537856).

122020021200 is an abundant number, since it is smaller than the sum of its proper divisors (370069054512).

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

122020021200 is a wasteful number, since it uses less digits than its factorization.

122020021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12963 (or 12952 counting only the distinct ones).

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

Adding to 122020021200 its reverse (2120020221), we get a palindrome (124140041421).

It can be divided in two parts, 122020021 and 200, that added together give a palindrome (122020221).

The spelling of 122020021200 in words is "one hundred twenty-two billion, twenty million, twenty-one thousand, two hundred".