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122023132022000 = 245311101160134301
BaseRepresentation
bin11011101111101010111001…
…011100000100010011110000
3121000001022000212121100122002
4123233222321130010103300
5111443211333244201000
61111304353013233132
734462610651503466
oct3357527134042360
9530038025540562
10122023132022000
11359757a0987550
1211828a980327a8
1353119691c6111
14221bd45b76836
15e1917d3208d5
hex6efab97044f0

122023132022000 has 320 divisors, whose sum is σ = 325274235152256. Its totient is φ = 43904000000000.

The previous prime is 122023132021981. The next prime is 122023132022009. The reversal of 122023132022000 is 220231320221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122023132022009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3557404850 + ... + 3557439150.

Almost surely, 2122023132022000 is an apocalyptic number.

122023132022000 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 122023132022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162637117576128).

122023132022000 is an abundant number, since it is smaller than the sum of its proper divisors (203251103130256).

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

122023132022000 is a wasteful number, since it uses less digits than its factorization.

122023132022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36037 (or 36021 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 122023132022000 its reverse (220231320221), we get a palindrome (122243363342221).

The spelling of 122023132022000 in words is "one hundred twenty-two trillion, twenty-three billion, one hundred thirty-two million, twenty-two thousand".