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122002020000 = 253254796827
BaseRepresentation
bin111000110011111100…
…0110001011010100000
3102122220112022202122100
41301213320301122200
53444330004120000
6132014050410400
711546216026260
oct1614770613240
9378815282570
10122002020000
1147816a61403
121b78a290a00
13b673bbaca3
145c951a97a0
153290b16a00
hex1c67e316a0

122002020000 has 360 divisors, whose sum is σ = 495479720736. Its totient is φ = 27885888000.

The previous prime is 122002019989. The next prime is 122002020001. The reversal of 122002020000 is 20200221.

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 super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (122002020001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1211587 + ... + 1308413.

Almost surely, 2122002020000 is an apocalyptic number.

122002020000 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 122002020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247739860368).

122002020000 is an abundant number, since it is smaller than the sum of its proper divisors (373477700736).

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

122002020000 is an equidigital number, since it uses as much as digits as its factorization.

122002020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96870 (or 96844 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 122002020000 its reverse (20200221), we get a palindrome (122022220221).

The spelling of 122002020000 in words is "one hundred twenty-two billion, two million, twenty thousand".