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122132230992 = 2432848140493
BaseRepresentation
bin111000110111110100…
…1011111001101010000
3102200020121100011112200
41301233221133031100
54000111322342432
6132035021323200
711552356556202
oct1615751371520
9380217304480
10122132230992
11478835078a2
121b805a06500
13b694b7b805
145ca85c2772
15329c287a7c
hex1c6fa5f350

122132230992 has 30 divisors (see below), whose sum is σ = 341800619082. Its totient is φ = 40710743616.

The previous prime is 122132230949. The next prime is 122132230993. The reversal of 122132230992 is 299032231221.

122132230992 is a `hidden beast` number, since 1 + 2 + 21 + 322 + 309 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 114165597456 + 7966633536 = 337884^2 + 89256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132230993) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 424070103 + ... + 424070390.

Almost surely, 2122132230992 is an apocalyptic number.

122132230992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122132230992 is an abundant number, since it is smaller than the sum of its proper divisors (219668388090).

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

122132230992 is a wasteful number, since it uses less digits than its factorization.

122132230992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848140507 (or 848140498 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 122132230992 in words is "one hundred twenty-two billion, one hundred thirty-two million, two hundred thirty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 848140493 1696280986 2544421479 3392561972 5088842958 6785123944 7633264437 10177685916 13570247888 15266528874 20355371832 30533057748 40710743664 61066115496 122132230992