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122978117808 = 24347132941877
BaseRepresentation
bin111001010001000010…
…0010010100010110000
3102202102120000200010000
41302202010102202300
54003324344232213
6132254555510000
711612340516420
oct1624204224260
9382376020100
10122978117808
1148177a3a107
121ba01158300
13b79b1a9860
145d48a94480
1532eb675c73
hex1ca21128b0

122978117808 has 800 divisors, whose sum is σ = 464761503360. Its totient is φ = 30516756480.

The previous prime is 122978117803. The next prime is 122978117809. The reversal of 122978117808 is 808711879221.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (122978117803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 140225466 + ... + 140226342.

Almost surely, 2122978117808 is an apocalyptic number.

122978117808 is a gapful number since it is divisible by the number (18) 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 122978117808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232380751680).

122978117808 is an abundant number, since it is smaller than the sum of its proper divisors (341783385552).

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

122978117808 is a wasteful number, since it uses less digits than its factorization.

122978117808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 54.

The spelling of 122978117808 in words is "one hundred twenty-two billion, nine hundred seventy-eight million, one hundred seventeen thousand, eight hundred eight".