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121395102724 = 22724126072
BaseRepresentation
bin111000100001110110…
…1100100010000000100
3102121100020022011122201
41301003231210100010
53442104121241344
6131433530204244
711525166230200
oct1610355442004
9377306264581
10121395102724
1147535409485
121b63ab83684
13b5a823ca3c
145c38741b00
1532576ce4d4
hex1c43b64404

121395102724 has 81 divisors (see below), whose sum is σ = 253718199189. Its totient is φ = 50673913920.

The previous prime is 121395102721. The next prime is 121395102737. The reversal of 121395102724 is 427201593121.

The square root of 121395102724 is 348418.

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

121395102724 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5849496324 + 115545606400 = 76482^2 + 339920^2 .

It is not an unprimeable number, because it can be changed into a prime (121395102721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 199991629 + ... + 199992235.

Almost surely, 2121395102724 is an apocalyptic number.

121395102724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

121395102724 is the 348418-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121395102724

121395102724 is an abundant number, since it is smaller than the sum of its proper divisors (132323096465).

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

121395102724 is an frugal number, since it uses more digits than its factorization.

121395102724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

Adding to 121395102724 its reverse (427201593121), we get a palindrome (548596695845).

The spelling of 121395102724 in words is "one hundred twenty-one billion, three hundred ninety-five million, one hundred two thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 574 607 1148 1214 1681 2009 2428 3362 4018 4249 6724 8036 8498 11767 16996 23534 24887 29743 47068 49774 59486 82369 99548 118972 164738 174209 329476 348418 368449 696836 736898 1020367 1219463 1473796 2040734 2438926 2579143 4081468 4877852 5158286 7142569 10316572 14285138 15106409 18054001 28570276 30212818 36108002 49997983 60425636 72216004 99995966 105744863 199991932 211489726 422979452 619362769 740214041 1238725538 1480428082 2477451076 2960856164 4335539383 8671078766 17342157532 30348775681 60697551362 121395102724