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122402421024 = 25313313313351
BaseRepresentation
bin111000111111111000…
…0001011100100100000
3102200221102202020120220
41301333300023210200
54001140004433044
6132121512403040
711562150261222
oct1617760134440
9380842666526
10122402421024
1147a01a80644
121b8803a6480
13b708b3cc80
145cd2436412
1532b5d59019
hex1c7fc0b920

122402421024 has 96 divisors (see below), whose sum is σ = 347128838784. Its totient is φ = 37541836800.

The previous prime is 122402420999. The next prime is 122402421041. The reversal of 122402421024 is 420124204221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 122402420985 and 122402421003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233949 + ... + 547299.

It is an arithmetic number, because the mean of its divisors is an integer number (3615925404).

Almost surely, 2122402421024 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 122402421024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173564419392).

122402421024 is an abundant number, since it is smaller than the sum of its proper divisors (224726417760).

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

122402421024 is a wasteful number, since it uses less digits than its factorization.

122402421024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313690 (or 313682 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 122402421024 its reverse (420124204221), we get a palindrome (542526625245).

The spelling of 122402421024 in words is "one hundred twenty-two billion, four hundred two million, four hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 313 416 624 626 939 1248 1252 1878 2504 3756 4069 5008 7512 8138 10016 12207 15024 16276 24414 30048 32552 48828 65104 97656 130208 195312 313351 390624 626702 940053 1253404 1880106 2506808 3760212 4073563 5013616 7520424 8147126 10027232 12220689 15040848 16294252 24441378 30081696 32588504 48882756 65177008 97765512 98078863 130354016 195531024 196157726 294236589 391062048 392315452 588473178 784630904 1176946356 1275025219 1569261808 2353892712 2550050438 3138523616 3825075657 4707785424 5100100876 7650151314 9415570848 10200201752 15300302628 20400403504 30600605256 40800807008 61201210512 122402421024