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121058420 = 225742521
BaseRepresentation
bin1110011011100…
…11010001110100
322102210101221012
413031303101310
5221442332140
620002411352
72666660000
oct715632164
9272711835
10121058420
1162374a8a
1234660b58
131c107902
1412113700
15a964265
hex7373474

121058420 has 60 divisors (see below), whose sum is σ = 296693124. Its totient is φ = 41489280.

The previous prime is 121058393. The next prime is 121058447. The reversal of 121058420 is 24850121.

It is an interprime number because it is at equal distance from previous prime (121058393) and next prime (121058447).

It can be written as a sum of positive squares in 2 ways, for example, as 13147876 + 107910544 = 3626^2 + 10388^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46760 + ... + 49280.

Almost surely, 2121058420 is an apocalyptic number.

121058420 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 121058420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148346562).

121058420 is an abundant number, since it is smaller than the sum of its proper divisors (175634704).

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

121058420 is an equidigital number, since it uses as much as digits as its factorization.

121058420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 121058420 is about 11002.6551341029. The cubic root of 121058420 is about 494.6883321866.

The spelling of 121058420 in words is "one hundred twenty-one million, fifty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 2521 3430 4802 5042 6860 9604 10084 12005 12605 17647 24010 25210 35294 48020 50420 70588 88235 123529 176470 247058 352940 494116 617645 864703 1235290 1729406 2470580 3458812 4323515 6052921 8647030 12105842 17294060 24211684 30264605 60529210 121058420