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121189623129 = 321160412
BaseRepresentation
bin111000011011101110…
…1101110010101011001
3102120210220122201122100
41300313131232111121
53441144020420004
6131401310114013
711520122541261
oct1606735562531
9376726581570
10121189623129
114743a423633
121b5a21ab909
13b5747b7593
145c193347a1
153244641739
hex1c3776e559

121189623129 has 9 divisors (see below), whose sum is σ = 175053186399. Its totient is φ = 80792385840.

The previous prime is 121189623101. The next prime is 121189623143. The reversal of 121189623129 is 921326981121.

The square root of 121189623129 is 348123.

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

121189623129 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 8 + 9 + 623 + 12 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119354357529 + 1835265600 = 345477^2 + 42840^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 121189623129 - 25 = 121189623097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121189123129) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 986349 + ... + 1102389.

Almost surely, 2121189623129 is an apocalyptic number.

121189623129 is the 348123-rd square number.

121189623129 is the 174062-nd centered octagonal number.

It is an amenable number.

121189623129 is a deficient number, since it is larger than the sum of its proper divisors (53863563270).

121189623129 is an frugal number, since it uses more digits than its factorization.

121189623129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232088 (or 116044 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 121189623129 in words is "one hundred twenty-one billion, one hundred eighty-nine million, six hundred twenty-three thousand, one hundred twenty-nine".

Divisors: 1 3 9 116041 348123 1044369 13465513681 40396541043 121189623129