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122022021000 = 23353116160617
BaseRepresentation
bin111000110100100010…
…1000100011110001000
3102122221220221220212010
41301221011010132020
53444400114133000
6132020043215520
711546551031235
oct1615105043610
9378856856763
10122022021000
1147827282460
121b794b175a0
13b6780a19b9
145c97ad478c
153292767d50
hex1c69144788

122022021000 has 256 divisors, whose sum is σ = 422134053120. Its totient is φ = 29095680000.

The previous prime is 122022020969. The next prime is 122022021041. The reversal of 122022021000 is 120220221.

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 63 ways as a sum of consecutive naturals, for example, 1982692 + ... + 2043308.

It is an arithmetic number, because the mean of its divisors is an integer number (1648961145).

Almost surely, 2122022021000 is an apocalyptic number.

122022021000 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 122022021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211067026560).

122022021000 is an abundant number, since it is smaller than the sum of its proper divisors (300112032120).

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

122022021000 is a wasteful number, since it uses less digits than its factorization.

122022021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60713 (or 60699 counting only the distinct ones).

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

Adding to 122022021000 its reverse (120220221), we get a palindrome (122142241221).

The spelling of 122022021000 in words is "one hundred twenty-two billion, twenty-two million, twenty-one thousand".