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120121444041441 = 31919748892188061
BaseRepresentation
bin11011010011111111110100…
…000000001000001011100001
3120202022111102222011112220020
4123103333310000020023201
5111221032204133311231
61103251010220104053
734205326235412003
oct3323776400101341
9522274388145806
10120121444041441
1135302244669007
1211580410695029
135204532842a1b
142193ca20b0373
15dd497b2a0396
hex6d3ff40082e1

120121444041441 has 32 divisors (see below), whose sum is σ = 169482031171200. Its totient is φ = 75465594247680.

The previous prime is 120121444041377. The next prime is 120121444041457. The reversal of 120121444041441 is 144140444121021.

It is a happy number.

It is not a de Polignac number, because 120121444041441 - 26 = 120121444041377 is a prime.

It is a super-2 number, since 2×1201214440414412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120121444041461) 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, 53804551 + ... + 55992611.

It is an arithmetic number, because the mean of its divisors is an integer number (5296313474100).

Almost surely, 2120121444041441 is an apocalyptic number.

It is an amenable number.

120121444041441 is a deficient number, since it is larger than the sum of its proper divisors (49360587129759).

120121444041441 is a wasteful number, since it uses less digits than its factorization.

120121444041441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193169.

The product of its (nonzero) digits is 16384, while the sum is 33.

Adding to 120121444041441 its reverse (144140444121021), we get a palindrome (264261888162462).

The spelling of 120121444041441 in words is "one hundred twenty trillion, one hundred twenty-one billion, four hundred forty-four million, forty-one thousand, four hundred forty-one".

Divisors: 1 3 19 57 197 591 3743 4889 11229 14667 92891 278673 963133 2188061 2889399 6564183 18299527 41573159 54898581 124719477 431048017 1293144051 8189912323 10697430229 24569736969 32092290687 203251174351 609753523053 2107393755113 6322181265339 40040481347147 120121444041441