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122002010000 = 245413947991
BaseRepresentation
bin111000110011111100…
…0101110111110010000
3102122220112022020220222
41301213320232332100
53444330003310000
6132014050252212
711546215655153
oct1614770567620
9378815266828
10122002010000
1147816a54942
121b78a287068
13b673bb6580
145c951a5c9a
153290b13a85
hex1c67e2ef90

122002010000 has 200 divisors, whose sum is σ = 318757764864. Its totient is φ = 44953920000.

The previous prime is 122002009967. The next prime is 122002010071. The reversal of 122002010000 is 10200221.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 122002010000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123109505 + ... + 123110495.

Almost surely, 2122002010000 is an apocalyptic number.

122002010000 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 122002010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159378882432).

122002010000 is an abundant number, since it is smaller than the sum of its proper divisors (196755754864).

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

122002010000 is an equidigital number, since it uses as much as digits as its factorization.

122002010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1958 counting only the distinct ones).

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

Adding to 122002010000 its reverse (10200221), we get a palindrome (122012210221).

The spelling of 122002010000 in words is "one hundred twenty-two billion, two million, ten thousand".