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121426632 = 23324873463
BaseRepresentation
bin1110011110011…
…01001011001000
322110111010000200
413033031023020
5222041123012
620014332200
73003052335
oct717151310
9273433020
10121426632
11625a6698
12347ba060
131c2063a2
14121ab98c
15a9d83dc
hex73cd2c8

121426632 has 48 divisors (see below), whose sum is σ = 329634240. Its totient is φ = 40380768.

The previous prime is 121426603. The next prime is 121426633. The reversal of 121426632 is 236624121.

121426632 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 26 + 632 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121426596 and 121426605.

It is not an unprimeable number, because it can be changed into a prime (121426633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33333 + ... + 36795.

It is an arithmetic number, because the mean of its divisors is an integer number (6867380).

Almost surely, 2121426632 is an apocalyptic number.

121426632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121426632 is an abundant number, since it is smaller than the sum of its proper divisors (208207608).

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

121426632 is a wasteful number, since it uses less digits than its factorization.

121426632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3955 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 121426632 is about 11019.3752998979. The cubic root of 121426632 is about 495.1893735165.

The spelling of 121426632 in words is "one hundred twenty-one million, four hundred twenty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 487 974 1461 1948 2922 3463 3896 4383 5844 6926 8766 10389 11688 13852 17532 20778 27704 31167 35064 41556 62334 83112 124668 249336 1686481 3372962 5059443 6745924 10118886 13491848 15178329 20237772 30356658 40475544 60713316 121426632