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121379076025 = 5259211812
BaseRepresentation
bin111000100001011000…
…0011011011110111001
3102121022010010221011021
41301002300123132321
53442041020413100
6131432154502441
711524613060134
oct1610260333671
9377263127137
10121379076025
1147527362379
121b635734a21
13b5a4b1ac9c
145c3656d21b
1532560b5a1a
hex1c42c1b7b9

121379076025 has 27 divisors (see below), whose sum is σ = 153234059053. Its totient is φ = 95376615200.

The previous prime is 121379076023. The next prime is 121379076031. The reversal of 121379076025 is 520670973121.

The square root of 121379076025 is 348395.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14387282809 + 106991793216 = 119947^2 + 327096^2 .

It is not a de Polignac number, because 121379076025 - 21 = 121379076023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121379076023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102775935 + ... + 102777115.

Almost surely, 2121379076025 is an apocalyptic number.

121379076025 is the 348395-th square number.

121379076025 is the 174198-th centered octagonal number.

It is an amenable number.

121379076025 is a deficient number, since it is larger than the sum of its proper divisors (31854983028).

121379076025 is an frugal number, since it uses more digits than its factorization.

121379076025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The spelling of 121379076025 in words is "one hundred twenty-one billion, three hundred seventy-nine million, seventy-six thousand, twenty-five".

Divisors: 1 5 25 59 295 1181 1475 3481 5905 17405 29525 69679 87025 348395 1394761 1741975 4111061 6973805 20555305 34869025 82290899 102776525 411454495 2057272475 4855163041 24275815205 121379076025