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121016742 = 237111631607
BaseRepresentation
bin1110011011010…
…01000110100110
322102201021202120
413031221012212
5221440013432
620001450410
72666424330
oct715510646
9272637676
10121016742
1162346740
1234640a06
131c0c1952
1412102450
15a956c2c
hex73691a6

121016742 has 64 divisors (see below), whose sum is σ = 303796224. Its totient is φ = 31220640.

The previous prime is 121016737. The next prime is 121016747. The reversal of 121016742 is 247610121.

It is an interprime number because it is at equal distance from previous prime (121016737) and next prime (121016747).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121016747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74503 + ... + 76109.

It is an arithmetic number, because the mean of its divisors is an integer number (4746816).

Almost surely, 2121016742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121016742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151898112).

121016742 is an abundant number, since it is smaller than the sum of its proper divisors (182779482).

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

121016742 is a wasteful number, since it uses less digits than its factorization.

121016742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 121016742 is about 11000.7609736781. The cubic root of 121016742 is about 494.6315552276.

Adding to 121016742 its reverse (247610121), we get a palindrome (368626863).

The spelling of 121016742 in words is "one hundred twenty-one million, sixteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 163 231 326 462 489 978 1141 1607 1793 2282 3214 3423 3586 4821 5379 6846 9642 10758 11249 12551 17677 22498 25102 33747 35354 37653 53031 67494 75306 106062 123739 247478 261941 371217 523882 742434 785823 1571646 1833587 2881351 3667174 5500761 5762702 8644053 11001522 17288106 20169457 40338914 60508371 121016742