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122021010000 = 24325410313163
BaseRepresentation
bin111000110100100000…
…1001101101001010000
3102122221212001120000200
41301221001031221100
53444344334310000
6132020005415200
711546536320561
oct1615101155120
9378855046020
10122021010000
114782675191a
121b79470a500
13b677b09786
145c97910168
153292618500
hex1c6904da50

122021010000 has 300 divisors, whose sum is σ = 430900792608. Its totient is φ = 32220576000.

The previous prime is 122021009983. The next prime is 122021010031. The reversal of 122021010000 is 10120221.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9263419 + ... + 9276581.

Almost surely, 2122021010000 is an apocalyptic number.

122021010000 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 122021010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215450396304).

122021010000 is an abundant number, since it is smaller than the sum of its proper divisors (308879782608).

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

122021010000 is a wasteful number, since it uses less digits than its factorization.

122021010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13300 (or 13276 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122021010000 its reverse (10120221), we get a palindrome (122031130221).

The spelling of 122021010000 in words is "one hundred twenty-two billion, twenty-one million, ten thousand".