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122022000100 = 2252721113174143
BaseRepresentation
bin111000110100100010…
…0111111010111100100
3102122221220220212012001
41301221010333113210
53444400113000400
6132020042535044
711546550613300
oct1615104772744
9378856825161
10122022000100
1147827268790
121b794b07484
13b678095330
145c97acad00
153292761a6a
hex1c6913f5e4

122022000100 has 216 divisors, whose sum is σ = 361869838848. Its totient is φ = 35107027200.

The previous prime is 122022000097. The next prime is 122022000169. The reversal of 122022000100 is 1000220221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 613629 + ... + 787771.

It is an arithmetic number, because the mean of its divisors is an integer number (1675323328).

Almost surely, 2122022000100 is an apocalyptic number.

122022000100 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 122022000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180934919424).

122022000100 is an abundant number, since it is smaller than the sum of its proper divisors (239847838748).

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

122022000100 is a wasteful number, since it uses less digits than its factorization.

122022000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174195 (or 174181 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122022000100 its reverse (1000220221), we get a palindrome (123022220321).

The spelling of 122022000100 in words is "one hundred twenty-two billion, twenty-two million, one hundred", and thus it is an aban number.