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122331132232000 = 2653411392719901
BaseRepresentation
bin11011110100001001101111…
…101011101000000101000000
3121001010202000221100011100021
4123310021233223220011000
5112013233124322411000
61112102051334503224
734524063332212426
oct3364115753500500
9531122027304307
10122331132232000
1135a84383a84a4a
1211878714804b14
135334a1260c5a3
14222cc035d9116
15e221a801c11a
hex6f426fae8140

122331132232000 has 448 divisors, whose sum is σ = 313759924208640. Its totient is φ = 47215872000000.

The previous prime is 122331132231989. The next prime is 122331132232031. The reversal of 122331132232000 is 232231133221.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12355427050 + ... + 12355436950.

It is an arithmetic number, because the mean of its divisors is an integer number (700356973680).

Almost surely, 2122331132232000 is an apocalyptic number.

122331132232000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122331132232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156879962104320).

122331132232000 is an abundant number, since it is smaller than the sum of its proper divisors (191428791976640).

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

122331132232000 is a wasteful number, since it uses less digits than its factorization.

122331132232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10379 (or 10359 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 122331132232000 its reverse (232231133221), we get a palindrome (122563363365221).

The spelling of 122331132232000 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, one hundred thirty-two million, two hundred thirty-two thousand".