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122121384 = 23371166083
BaseRepresentation
bin1110100011101…
…10110010101000
322111210102001020
413101312302220
5222230341014
620041252440
73012005010
oct721666250
9274712036
10122121384
1162a30670
1234a94120
131c3ba698
141230cc40
15aac41a9
hex7476ca8

122121384 has 64 divisors (see below), whose sum is σ = 380643840. Its totient is φ = 31719360.

The previous prime is 122121383. The next prime is 122121413. The reversal of 122121384 is 483121221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122121383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31194 + ... + 34889.

It is an arithmetic number, because the mean of its divisors is an integer number (5947560).

Almost surely, 2122121384 is an apocalyptic number.

122121384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122121384 is an abundant number, since it is smaller than the sum of its proper divisors (258522456).

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

122121384 is a wasteful number, since it uses less digits than its factorization.

122121384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66110 (or 66106 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 122121384 is about 11050.8544466028. The cubic root of 122121384 is about 496.1319996408.

The spelling of 122121384 in words is "one hundred twenty-two million, one hundred twenty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 66083 132166 198249 264332 396498 462581 528664 726913 792996 925162 1387743 1453826 1585992 1850324 2180739 2775486 2907652 3700648 4361478 5088391 5550972 5815304 8722956 10176782 11101944 15265173 17445912 20353564 30530346 40707128 61060692 122121384