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122140230984 = 233241438311593
BaseRepresentation
bin111000111000000100…
…0000000010101001000
3102200021011101121110200
41301300020000111020
54000120344342414
6132035505012200
711552514555612
oct1616010002510
9380234347420
10122140230984
1147887a81362
121b808624060
13b69671cc35
145ca96a5db2
15329cd18109
hex1c70200548

122140230984 has 192 divisors, whose sum is σ = 350953162560. Its totient is φ = 38325934080.

The previous prime is 122140230923. The next prime is 122140230991. The reversal of 122140230984 is 489032041221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10529892 + ... + 10541484.

It is an arithmetic number, because the mean of its divisors is an integer number (1827881055).

Almost surely, 2122140230984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122140230984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175476581280).

122140230984 is an abundant number, since it is smaller than the sum of its proper divisors (228812931576).

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

122140230984 is a wasteful number, since it uses less digits than its factorization.

122140230984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11772 (or 11765 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 122140230984 in words is "one hundred twenty-two billion, one hundred forty million, two hundred thirty thousand, nine hundred eighty-four".