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122020311132 = 223215913212999
BaseRepresentation
bin111000110100011111…
…0100011000001011100
3102122221210202001100200
41301220332203001130
53444344144424012
6132015542423500
711546530350216
oct1615076430134
9378853661320
10122020311132
1147826314845
121b794431b90
13b677923645
145c977ab5b6
15329252b3dc
hex1c68fa305c

122020311132 has 36 divisors (see below), whose sum is σ = 308461062000. Its totient is φ = 40670690112.

The previous prime is 122020311071. The next prime is 122020311197. The reversal of 122020311132 is 231113020221.

122020311132 is a `hidden beast` number, since 1 + 220 + 2 + 0 + 311 + 132 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466369 + ... + 679367.

Almost surely, 2122020311132 is an apocalyptic number.

122020311132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122020311132 is an abundant number, since it is smaller than the sum of its proper divisors (186440750868).

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

122020311132 is a wasteful number, since it uses less digits than its factorization.

122020311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228922 (or 228917 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122020311132 its reverse (231113020221), we get a palindrome (353133331353).

The spelling of 122020311132 in words is "one hundred twenty-two billion, twenty million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 15913 31826 47739 63652 95478 143217 190956 212999 286434 425998 572868 638997 851996 1277994 1916991 2555988 3833982 7667964 3389453087 6778906174 10168359261 13557812348 20336718522 30505077783 40673437044 61010155566 122020311132