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1201121625 = 353112103257
BaseRepresentation
bin100011110010111…
…1010100101011001
310002201010022010010
41013211322211121
54424441343000
6315104112133
741523236214
oct10745724531
93081108103
101201121625
11567002500
12296305649
13161ac7b72
14b574277b
15706acd50
hex4797a959

1201121625 has 96 divisors (see below), whose sum is σ = 2226841344. Its totient is φ = 574464000.

The previous prime is 1201121599. The next prime is 1201121627. The reversal of 1201121625 is 5261211021.

It is not a de Polignac number, because 1201121625 - 26 = 1201121561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1201121627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4673497 + ... + 4673753.

It is an arithmetic number, because the mean of its divisors is an integer number (23196264).

Almost surely, 21201121625 is an apocalyptic number.

1201121625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1201121625 is a deficient number, since it is larger than the sum of its proper divisors (1025719719).

1201121625 is a wasteful number, since it uses less digits than its factorization.

1201121625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1201121625 is about 34657.2016325612. The cubic root of 1201121625 is about 1062.9895506431.

Adding to 1201121625 its reverse (5261211021), we get a palindrome (6462332646).

The spelling of 1201121625 in words is "one billion, two hundred one million, one hundred twenty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 103 121 125 165 257 275 309 363 375 515 605 771 825 1133 1285 1375 1545 1815 2575 2827 3025 3399 3855 4125 5665 6425 7725 8481 9075 12463 12875 14135 15125 16995 19275 26471 28325 31097 32125 37389 38625 42405 45375 62315 70675 79413 84975 93291 96375 132355 141625 155485 186945 212025 291181 311575 353375 397065 424875 466455 661775 777425 873543 934725 1060125 1455905 1557875 1985325 2332275 3202991 3308875 3887125 4367715 4673625 7279525 9608973 9926625 11661375 16014955 21838575 36397625 48044865 80074775 109192875 240224325 400373875 1201121625