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122998487040 = 21134511131761
BaseRepresentation
bin111001010001101000…
…1111111100000000000
3102202110222100112110000
41302203101333200000
54003400103041130
6132301004240000
711613005614062
oct1624321774000
9382428315400
10122998487040
1148188491890
121ba07b40000
13b7a248c060
145d4b677732
1532ed34b260
hex1ca347f800

122998487040 has 1920 divisors, whose sum is σ = 557396199360. Its totient is φ = 25480396800.

The previous prime is 122998487011. The next prime is 122998487081. The reversal of 122998487040 is 40784899221.

122998487040 is a `hidden beast` number, since 12 + 29 + 98 + 487 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2016368610 + ... + 2016368670.

Almost surely, 2122998487040 is an apocalyptic number.

122998487040 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 122998487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278698099680).

122998487040 is an abundant number, since it is smaller than the sum of its proper divisors (434397712320).

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

122998487040 is a wasteful number, since it uses less digits than its factorization.

122998487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 122998487040 in words is "one hundred twenty-two billion, nine hundred ninety-eight million, four hundred eighty-seven thousand, forty".