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122022132000 = 2535343236477
BaseRepresentation
bin111000110100100010…
…1011111100100100000
3102122221221011120010020
41301221011133210200
53444400131211000
6132020045433440
711546552002656
oct1615105374440
9378857146106
10122022132000
114782734889a
121b794b6b880
13b678110392
145c97b22dd6
15329278aba0
hex1c6915f920

122022132000 has 192 divisors, whose sum is σ = 409042617984. Its totient is φ = 31782374400.

The previous prime is 122022131941. The next prime is 122022132019. The reversal of 122022132000 is 231220221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397762 + ... + 634238.

It is an arithmetic number, because the mean of its divisors is an integer number (2130430302).

Almost surely, 2122022132000 is an apocalyptic number.

122022132000 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 122022132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204521308992).

122022132000 is an abundant number, since it is smaller than the sum of its proper divisors (287020485984).

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

122022132000 is a wasteful number, since it uses less digits than its factorization.

122022132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236548 (or 236530 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 122022132000 its reverse (231220221), we get a palindrome (122253352221).

The spelling of 122022132000 in words is "one hundred twenty-two billion, twenty-two million, one hundred thirty-two thousand".