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122085378 = 23231331661
BaseRepresentation
bin1110100011011…
…10000000000010
322111201120122200
413101232000002
5222223213003
620040414030
73011465022
oct721560002
9274646580
10122085378
1162a06608
1234a77316
131c3a718c
14122dda82
15aab86a3
hex746e002

122085378 has 48 divisors (see below), whose sum is σ = 274290432. Its totient is φ = 39204000.

The previous prime is 122085377. The next prime is 122085391. The reversal of 122085378 is 873580221.

It is not an unprimeable number, because it can be changed into a prime (122085373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184368 + ... + 185028.

It is an arithmetic number, because the mean of its divisors is an integer number (5714384).

Almost surely, 2122085378 is an apocalyptic number.

122085378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122085378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137145216).

122085378 is an abundant number, since it is smaller than the sum of its proper divisors (152205054).

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

122085378 is a wasteful number, since it uses less digits than its factorization.

122085378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 122085378 is about 11049.2252217067. The cubic root of 122085378 is about 496.0832353592.

The spelling of 122085378 in words is "one hundred twenty-two million, eighty-five thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 331 558 661 662 993 1322 1983 1986 2979 3966 5949 5958 10261 11898 20491 20522 30783 40982 61473 61566 92349 122946 184419 184698 218791 368838 437582 656373 1312746 1969119 3938238 6782521 13565042 20347563 40695126 61042689 122085378